102156769260 has 432 divisors, whose sum is σ = 390576723264. Its totient is φ = 21046459392.

The previous prime is 102156769213. The next prime is 102156769271. The reversal of 102156769260 is 62967651201.

102156769260 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 567 + 69 + 26 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30284934 + ... + 30288306.

Almost surely, 2^102156769260 is an apocalyptic number.

102156769260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102156769260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195288361632).

102156769260 is an abundant number, since it is smaller than the sum of its proper divisors (288419954004).

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

102156769260 is a wasteful number, since it uses less digits than its factorization.

102156769260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 102156769260 in words is "one hundred two billion, one hundred fifty-six million, seven hundred sixty-nine thousand, two hundred sixty".