100412928 has 240 divisors, whose sum is σ = 362583936. Its totient is φ = 25989120.

The previous prime is 100412911. The next prime is 100412933. The reversal of 100412928 is 829214001.

It is a super-2 number, since 2×100412928² = 20165512219066368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354675 + ... + 354957.

Almost surely, 2^100412928 is an apocalyptic number.

100412928 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 100412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181291968).

100412928 is an abundant number, since it is smaller than the sum of its proper divisors (262171008).

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

100412928 is a wasteful number, since it uses less digits than its factorization.

100412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100412928 is about 10020.6251302002. The cubic root of 100412928 is about 464.7968866653.

Adding to 100412928 its reverse (829214001), we get a palindrome (929626929).

The spelling of 100412928 in words is "one hundred million, four hundred twelve thousand, nine hundred twenty-eight".