104973628032 has 1152 divisors, whose sum is σ = 415119893760. Its totient is φ = 24797380608.

The previous prime is 104973627973. The next prime is 104973628061. The reversal of 104973628032 is 230826379401.

104973628032 is a `hidden beast` number, since 10 + 4 + 9 + 7 + 3 + 628 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×104973628032² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 532860958 + ... + 532861154.

It is an arithmetic number, because the mean of its divisors is an integer number (360347130).

Almost surely, 2^104973628032 is an apocalyptic number.

104973628032 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 104973628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207559946880).

104973628032 is an abundant number, since it is smaller than the sum of its proper divisors (310146265728).

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

104973628032 is a wasteful number, since it uses less digits than its factorization.

104973628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 104973628032 in words is "one hundred four billion, nine hundred seventy-three million, six hundred twenty-eight thousand, thirty-two".