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106340363400 = 23352414322779
BaseRepresentation
bin110001100001001100…
…0010010110010001000
3101011111001011011201210
41203002120102302020
53220241113112100
6120504015013120
710453133113665
oct1430230226210
9334431134653
10106340363400
114110a3a9a57
121873920a1a0
13a04926936b
14520b14ca6c
152b75ba5c50
hex18c2612c88

106340363400 has 96 divisors (see below), whose sum is σ = 337695573600. Its totient is φ = 27665779200.

The previous prime is 106340363329. The next prime is 106340363413. The reversal of 106340363400 is 4363043601.

It is a super-2 number, since 2×1063403634002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2136790 + ... + 2185989.

It is an arithmetic number, because the mean of its divisors is an integer number (3517662225).

Almost surely, 2106340363400 is an apocalyptic number.

106340363400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106340363400 is an abundant number, since it is smaller than the sum of its proper divisors (231355210200).

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

106340363400 is a wasteful number, since it uses less digits than its factorization.

106340363400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322839 (or 4322830 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 106340363400 in words is "one hundred six billion, three hundred forty million, three hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 4322779 8645558 12968337 17291116 21613895 25936674 34582232 43227790 51873348 64841685 86455580 103746696 108069475 129683370 172911160 177233939 216138950 259366740 324208425 354467878 432277900 518733480 531701817 648416850 708935756 864555800 886169695 1063403634 1296833700 1417871512 1772339390 2126807268 2593667400 2658509085 3544678780 4253614536 4430848475 5317018170 7089357560 8861696950 10634036340 13292545425 17723393900 21268072680 26585090850 35446787800 53170181700 106340363400