104169601152 has 256 divisors, whose sum is σ = 316071888000. Its totient is φ = 33756549120.

The previous prime is 104169601037. The next prime is 104169601163. The reversal of 104169601152 is 251106961401.

104169601152 is a `hidden beast` number, since 1 + 0 + 41 + 6 + 9 + 601 + 1 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34029702 + ... + 34032762.

Almost surely, 2^104169601152 is an apocalyptic number.

104169601152 is a gapful number since it is divisible by the number (12) 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 104169601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158035944000).

104169601152 is an abundant number, since it is smaller than the sum of its proper divisors (211902286848).

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

104169601152 is a wasteful number, since it uses less digits than its factorization.

104169601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 104169601152 in words is "one hundred four billion, one hundred sixty-nine million, six hundred one thousand, one hundred fifty-two".