104972733360 has 240 divisors, whose sum is σ = 384988930560. Its totient is φ = 25421007360.

The previous prime is 104972733343. The next prime is 104972733367. The reversal of 104972733360 is 63337279401.

It is a happy number.

104972733360 is a `hidden beast` number, since 1 + 0 + 49 + 7 + 273 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×104972733360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104972733367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063977 + ... + 8076983.

It is an arithmetic number, because the mean of its divisors is an integer number (1604120544).

Almost surely, 2^104972733360 is an apocalyptic number.

104972733360 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 104972733360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192494465280).

104972733360 is an abundant number, since it is smaller than the sum of its proper divisors (280016197200).

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

104972733360 is a wasteful number, since it uses less digits than its factorization.

104972733360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14056 (or 14047 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 104972733360 in words is "one hundred four billion, nine hundred seventy-two million, seven hundred thirty-three thousand, three hundred sixty".