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106677735150 = 23527101597843
BaseRepresentation
bin110001101011001111…
…1010000111011101110
3101012100112222102202210
41203112133100323232
53221434000011100
6121001310031250
710464400534050
oct1432637207356
9335315872683
10106677735150
1141272889388
12188121a8526
13a0a112060c
14523dc8d8d0
152b955e7c50
hex18d67d0eee

106677735150 has 48 divisors (see below), whose sum is σ = 302355183744. Its totient is φ = 24383482080.

The previous prime is 106677735121. The next prime is 106677735163. The reversal of 106677735150 is 51537776601.

It is a happy number.

It is a super-2 number, since 2×1066777351502 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106677735150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50797872 + ... + 50799971.

It is an arithmetic number, because the mean of its divisors is an integer number (6299066328).

Almost surely, 2106677735150 is an apocalyptic number.

106677735150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106677735150 is an abundant number, since it is smaller than the sum of its proper divisors (195677448594).

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

106677735150 is a wasteful number, since it uses less digits than its factorization.

106677735150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101597865 (or 101597860 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The spelling of 106677735150 in words is "one hundred six billion, six hundred seventy-seven million, seven hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 101597843 203195686 304793529 507989215 609587058 711184901 1015978430 1422369802 1523967645 2133554703 2539946075 3047935290 3555924505 4267109406 5079892150 7111849010 7619838225 10667773515 15239676450 17779622525 21335547030 35559245050 53338867575 106677735150