100890828 has 36 divisors (see below), whose sum is σ = 259216048. Its totient is φ = 33078240.

The previous prime is 100890809. The next prime is 100890841. The reversal of 100890828 is 828098001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×100890828⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100890792 and 100890801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20776 + ... + 25167.

Almost surely, 2^100890828 is an apocalyptic number.

100890828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100890828 is an abundant number, since it is smaller than the sum of its proper divisors (158325220).

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

100890828 is a wasteful number, since it uses less digits than its factorization.

100890828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46014 (or 46009 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 100890828 is about 10044.4426425760. The cubic root of 100890828 is about 465.5330965441.

The spelling of 100890828 in words is "one hundred million, eight hundred ninety thousand, eight hundred twenty-eight".