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106107970500 = 22325373368507
BaseRepresentation
bin110001011010010000…
…1110010001111000100
3101010212211212101121100
41202310201302033010
53214302120024000
6120424554020100
710444311603450
oct1426441621704
9333784771540
10106107970500
1141000201804
1218693417630
13a01007cb7c
1451c8337660
152b6059da00
hex18b48723c4

106107970500 has 144 divisors (see below), whose sum is σ = 382554716544. Its totient is φ = 24253243200.

The previous prime is 106107970369. The next prime is 106107970511. The reversal of 106107970500 is 5079701601.

106107970500 is a `hidden beast` number, since 1 + 0 + 6 + 10 + 79 + 70 + 500 = 666.

It is a super-2 number, since 2×1061079705002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1652754 + ... + 1715753.

It is an arithmetic number, because the mean of its divisors is an integer number (2656629976).

Almost surely, 2106107970500 is an apocalyptic number.

106107970500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106107970500 is an abundant number, since it is smaller than the sum of its proper divisors (276446746044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106107970500 is a wasteful number, since it uses less digits than its factorization.

106107970500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368539 (or 3368524 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 106107970500 in words is "one hundred six billion, one hundred seven million, nine hundred seventy thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 7875 10500 15750 31500 3368507 6737014 10105521 13474028 16842535 20211042 23579549 30316563 33685070 40422084 47159098 50527605 60633126 67370140 70738647 84212675 94318196 101055210 117897745 121266252 141477294 151582815 168425350 202110420 212215941 235795490 252638025 282954588 303165630 336850700 353693235 421063375 424431882 471590980 505276050 589488725 606331260 707386470 757914075 842126750 848863764 1010552100 1061079705 1178977450 1263190125 1414772940 1515828150 1684253500 1768466175 2122159410 2357954900 2526380250 2947443625 3031656300 3536932350 3789570375 4244318820 5052760500 5305398525 5894887250 7073864700 7579140750 8842330875 10610797050 11789774500 15158281500 17684661750 21221594100 26526992625 35369323500 53053985250 106107970500