100297008 has 160 divisors (see below), whose sum is σ = 348549120. Its totient is φ = 26956800.

The previous prime is 100296983. The next prime is 100297009. The reversal of 100297008 is 800792001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100297009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50433 + ... + 52383.

It is an arithmetic number, because the mean of its divisors is an integer number (2178432).

Almost surely, 2^100297008 is an apocalyptic number.

100297008 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 100297008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174274560).

100297008 is an abundant number, since it is smaller than the sum of its proper divisors (248252112).

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

100297008 is a wasteful number, since it uses less digits than its factorization.

100297008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 100297008 is about 10014.8393896258. The cubic root of 100297008 is about 464.6179588359.

The spelling of 100297008 in words is "one hundred million, two hundred ninety-seven thousand, eight".