100409816 has 32 divisors (see below), whose sum is σ = 207474960. Its totient is φ = 45263232.

The previous prime is 100409809. The next prime is 100409891. The reversal of 100409816 is 618904001.

It is a super-2 number, since 2×100409816² = 20164262298307712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) 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 7 ways as a sum of consecutive naturals, for example, 6755 + ... + 15698.

Almost surely, 2^100409816 is an apocalyptic number.

It is an amenable number.

100409816 is an abundant number, since it is smaller than the sum of its proper divisors (107065144).

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

100409816 is a wasteful number, since it uses less digits than its factorization.

100409816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22515 (or 22511 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 100409816 is about 10020.4698492636. The cubic root of 100409816 is about 464.7920849501.

The spelling of 100409816 in words is "one hundred million, four hundred nine thousand, eight hundred sixteen".