100906523460 has 36 divisors (see below), whose sum is σ = 306083121708. Its totient is φ = 26908406208.

The previous prime is 100906523441. The next prime is 100906523461. The reversal of 100906523460 is 64325609001.

It is a happy number.

100906523460 is a `hidden beast` number, since 1 + 0 + 0 + 90 + 6 + 523 + 46 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13522433796 + 87384089664 = 116286^2 + 295608^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×100906523460³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100906523461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280295719 + ... + 280296078.

Almost surely, 2^100906523460 is an apocalyptic number.

100906523460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100906523460 is an abundant number, since it is smaller than the sum of its proper divisors (205176598248).

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

100906523460 is a wasteful number, since it uses less digits than its factorization.

100906523460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560591812 (or 560591807 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 100906523460 in words is "one hundred billion, nine hundred six million, five hundred twenty-three thousand, four hundred sixty".