104925384000 has 336 divisors, whose sum is σ = 376762188816. Its totient is φ = 27873792000.

The previous prime is 104925383957. The next prime is 104925384023. The reversal of 104925384000 is 483529401.

It can be written as a sum of positive squares in 8 ways, for example, as 39090034944 + 65835349056 = 197712^2 + 256584^2 .

It is a super-2 number, since 2×104925384000² (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 a congruent number.

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, 19941370 + ... + 19946630.

Almost surely, 2^104925384000 is an apocalyptic number.

104925384000 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 104925384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188381094408).

104925384000 is an abundant number, since it is smaller than the sum of its proper divisors (271836804816).

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

104925384000 is a wasteful number, since it uses less digits than its factorization.

104925384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 104925384000 in words is "one hundred four billion, nine hundred twenty-five million, three hundred eighty-four thousand".