100474874127360 has 528 divisors, whose sum is σ = 351162707201280. Its totient is φ = 26561721139200.

The previous prime is 100474874127317. The next prime is 100474874127373. The reversal of 100474874127360 is 63721478474001.

It is a happy number.

100474874127360 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 487 + 4 + 127 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100474874127297 and 100474874127306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3011910361 + ... + 3011943719.

Almost surely, 2^{100474874127360} is an apocalyptic number.

100474874127360 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 100474874127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175581353600640).

100474874127360 is an abundant number, since it is smaller than the sum of its proper divisors (250687833073920).

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

100474874127360 is a wasteful number, since it uses less digits than its factorization.

100474874127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33954 (or 33933 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 100474874127360 in words is "one hundred trillion, four hundred seventy-four billion, eight hundred seventy-four million, one hundred twenty-seven thousand, three hundred sixty".