104132039616 has 784 divisors, whose sum is σ = 363795868800. Its totient is φ = 29225318400.

The previous prime is 104132039611. The next prime is 104132039629. The reversal of 104132039616 is 616930231401.

104132039616 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 2 + 0 + 39 + 616 = 666.

It is a super-3 number, since 3×104132039616³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104132039611) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 575315046 + ... + 575315226.

Almost surely, 2^104132039616 is an apocalyptic number.

104132039616 is a gapful number since it is divisible by the number (16) 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 104132039616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181897934400).

104132039616 is an abundant number, since it is smaller than the sum of its proper divisors (259663829184).

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

104132039616 is a wasteful number, since it uses less digits than its factorization.

104132039616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 104132039616 in words is "one hundred four billion, one hundred thirty-two million, thirty-nine thousand, six hundred sixteen".