100076428032 has 288 divisors, whose sum is σ = 315484237824. Its totient is φ = 27559526400.

The previous prime is 100076428021. The next prime is 100076428103. The reversal of 100076428032 is 230824670001.

It is a junction number, because it is equal to n+sod(n) for n = 100076427984 and 100076428002.

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, 46829268 + ... + 46831404.

Almost surely, 2^100076428032 is an apocalyptic number.

100076428032 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 100076428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157742118912).

100076428032 is an abundant number, since it is smaller than the sum of its proper divisors (215407809792).

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

100076428032 is a wasteful number, since it uses less digits than its factorization.

100076428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 100076428032 in words is "one hundred billion, seventy-six million, four hundred twenty-eight thousand, thirty-two".