100928640 has 64 divisors (see below), whose sum is σ = 321716160. Its totient is φ = 26913792.

The previous prime is 100928603. The next prime is 100928647. The reversal of 100928640 is 46829001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100928598 and 100928607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100928647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24364 + ... + 28203.

It is an arithmetic number, because the mean of its divisors is an integer number (5026815).

Almost surely, 2^100928640 is an apocalyptic number.

100928640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100928640 is an abundant number, since it is smaller than the sum of its proper divisors (220787520).

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

100928640 is an equidigital number, since it uses as much as digits as its factorization.

100928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52589 (or 52577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 100928640 is about 10046.3247011034. The cubic root of 100928640 is about 465.5912469865.

The spelling of 100928640 in words is "one hundred million, nine hundred twenty-eight thousand, six hundred forty".