100738004531652 has 180 divisors, whose sum is σ = 284718031353756. Its totient is φ = 31036097479680.

The previous prime is 100738004531651. The next prime is 100738004531657. The reversal of 100738004531652 is 256135400837001.

It is a happy number.

100738004531652 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 38 + 0 + 0 + 453 + 165 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35444590903296 + 65293413628356 = 5953536^2 + 8080434^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100738004531598 and 100738004531607.

It is not an unprimeable number, because it can be changed into a prime (100738004531651) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5707813 + ... + 15298860.

Almost surely, 2^{100738004531652} is an apocalyptic number.

100738004531652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100738004531652 is an abundant number, since it is smaller than the sum of its proper divisors (183980026822104).

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

100738004531652 is a wasteful number, since it uses less digits than its factorization.

100738004531652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21006768 (or 21006738 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 100738004531652 in words is "one hundred trillion, seven hundred thirty-eight billion, four million, five hundred thirty-one thousand, six hundred fifty-two".