100780400 has 60 divisors (see below), whose sum is σ = 276721872. Its totient is φ = 34552320.

The previous prime is 100780391. The next prime is 100780417. The reversal of 100780400 is 4087001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 15197 + ... + 20796.

Almost surely, 2^100780400 is an apocalyptic number.

100780400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100780400 is an abundant number, since it is smaller than the sum of its proper divisors (175941472).

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

100780400 is a wasteful number, since it uses less digits than its factorization.

100780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36018 (or 36007 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 100780400 is about 10038.9441675905. The cubic root of 100780400 is about 465.3631879507.

The spelling of 100780400 in words is "one hundred million, seven hundred eighty thousand, four hundred".