104777032032 has 192 divisors, whose sum is σ = 309770334720. Its totient is φ = 34452288000.

The previous prime is 104777032021. The next prime is 104777032109. The reversal of 104777032032 is 230230777401.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 19578157 + ... + 19583507.

It is an arithmetic number, because the mean of its divisors is an integer number (1613387160).

Almost surely, 2^104777032032 is an apocalyptic number.

104777032032 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 104777032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154885167360).

104777032032 is an abundant number, since it is smaller than the sum of its proper divisors (204993302688).

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

104777032032 is a wasteful number, since it uses less digits than its factorization.

104777032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 104777032032 in words is "one hundred four billion, seven hundred seventy-seven million, thirty-two thousand, thirty-two".