100112640 has 216 divisors, whose sum is σ = 341822208. Its totient is φ = 24944640.

The previous prime is 100112599. The next prime is 100112657. The reversal of 100112640 is 46211001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3229425 + ... + 3229455.

Almost surely, 2^100112640 is an apocalyptic number.

100112640 is a gapful number since it is divisible by the number (10) 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 100112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170911104).

100112640 is an abundant number, since it is smaller than the sum of its proper divisors (241709568).

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

100112640 is an equidigital number, since it uses as much as digits as its factorization.

100112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100112640 is about 10005.6304149214. The cubic root of 100112640 is about 464.3330941560. Note that the first 3 decimals are identical.

Adding to 100112640 its reverse (46211001), we get a palindrome (146323641).

The spelling of 100112640 in words is "one hundred million, one hundred twelve thousand, six hundred forty".