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106935539600 = 2452299218581
BaseRepresentation
bin110001110010111011…
…0101101011110010000
3101020000112002020222202
41203211312231132100
53223000444231400
6121043035422332
710503651042401
oct1434566553620
9336015066882
10106935539600
114139536270a
12188845b49a8
13a112666426
1452661db9a8
152bad06e4d5
hex18e5dad790

106935539600 has 60 divisors (see below), whose sum is σ = 265771719060. Its totient is φ = 41299238400.

The previous prime is 106935539573. The next prime is 106935539611. The reversal of 106935539600 is 6935539601.

It can be written as a sum of positive squares in 6 ways, for example, as 14546289664 + 92389249936 = 120608^2 + 303956^2 .

It is a super-2 number, since 2×1069355396002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4597691 + ... + 4620890.

It is an arithmetic number, because the mean of its divisors is an integer number (4429528651).

Almost surely, 2106935539600 is an apocalyptic number.

106935539600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106935539600 is an abundant number, since it is smaller than the sum of its proper divisors (158836179460).

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

106935539600 is a wasteful number, since it uses less digits than its factorization.

106935539600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218628 (or 9218617 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 47.

Subtracting from 106935539600 its reverse (6935539601), we obtain a palindrome (99999999999).

The spelling of 106935539600 in words is "one hundred six billion, nine hundred thirty-five million, five hundred thirty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 9218581 18437162 36874324 46092905 73748648 92185810 147497296 184371620 230464525 267338849 368743240 460929050 534677698 737486480 921858100 1069355396 1336694245 1843716200 2138710792 2673388490 3687432400 4277421584 5346776980 6683471225 10693553960 13366942450 21387107920 26733884900 53467769800 106935539600