104331547152 has 600 divisors, whose sum is σ = 372865724352. Its totient is φ = 28021593600.

The previous prime is 104331547141. The next prime is 104331547163. The reversal of 104331547152 is 251745133401.

104331547152 is a `hidden beast` number, since 1 + 0 + 433 + 154 + 71 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (104331547141) and next prime (104331547163).

It is a super-2 number, since 2×104331547152² (a number of 23 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 89095527 + ... + 89096697.

Almost surely, 2^104331547152 is an apocalyptic number.

104331547152 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 104331547152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186432862176).

104331547152 is an abundant number, since it is smaller than the sum of its proper divisors (268534177200).

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

104331547152 is a wasteful number, since it uses less digits than its factorization.

104331547152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 104331547152 in words is "one hundred four billion, three hundred thirty-one million, five hundred forty-seven thousand, one hundred fifty-two".