100429860960900 has 81 divisors (see below), whose sum is σ = 314792762100271. Its totient is φ = 26781216084480.

The previous prime is 100429860960857. The next prime is 100429860960911. The reversal of 100429860960900 is 9069068924001.

The square root of 100429860960900 is 10021470.

It is a perfect power (a square), and thus also a powerful number.

100429860960900 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 29 + 8 + 6 + 0 + 9 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2053139362884 + 98376721598016 = 1432878^2 + 9918504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 300477076 + ... + 300811124.

Almost surely, 2^{100429860960900} is an apocalyptic number.

100429860960900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100429860960900 is the 10021470-th square number.

It is an amenable number.

100429860960900 is an abundant number, since it is smaller than the sum of its proper divisors (214362901139371).

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

100429860960900 is an frugal number, since it uses more digits than its factorization.

100429860960900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668118 (or 334059 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 100429860960900 in words is "one hundred trillion, four hundred twenty-nine billion, eight hundred sixty million, nine hundred sixty thousand, nine hundred".