100465831728 has 120 divisors (see below), whose sum is σ = 288722624736. Its totient is φ = 32599756800.

The previous prime is 100465831721. The next prime is 100465831747. The reversal of 100465831728 is 827138564001.

100465831728 is a `hidden beast` number, since 1 + 0 + 0 + 46 + 583 + 1 + 7 + 28 = 666.

It is a super-2 number, since 2×100465831728² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100465831721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793093 + ... + 911003.

Almost surely, 2^100465831728 is an apocalyptic number.

100465831728 is a gapful number since it is divisible by the number (18) 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 100465831728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144361312368).

100465831728 is an abundant number, since it is smaller than the sum of its proper divisors (188256793008).

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

100465831728 is a wasteful number, since it uses less digits than its factorization.

100465831728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118083 (or 118074 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 100465831728 in words is "one hundred billion, four hundred sixty-five million, eight hundred thirty-one thousand, seven hundred twenty-eight".