100780008 has 128 divisors (see below), whose sum is σ = 305848320. Its totient is φ = 27060480.

The previous prime is 100779949. The next prime is 100780013. The reversal of 100780008 is 800087001.

It is a super-2 number, since 2×100780008² = 20313220024960128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100780008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192435 + ... + 192957.

It is an arithmetic number, because the mean of its divisors is an integer number (2389440).

Almost surely, 2^100780008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100780008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152924160).

100780008 is an abundant number, since it is smaller than the sum of its proper divisors (205068312).

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

100780008 is a wasteful number, since it uses less digits than its factorization.

100780008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 100780008 is about 10038.9246436060. The cubic root of 100780008 is about 465.3625845840.

The spelling of 100780008 in words is "one hundred million, seven hundred eighty thousand, eight".