100113140 has 24 divisors (see below), whose sum is σ = 210555240. Its totient is φ = 39984768.

The previous prime is 100113067. The next prime is 100113173. The reversal of 100113140 is 41311001.

It can be written as a sum of positive squares in 4 ways, for example, as 37797904 + 62315236 = 6148^2 + 7894^2 .

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, 11246 + ... + 18074.

It is an arithmetic number, because the mean of its divisors is an integer number (8773135).

Almost surely, 2^100113140 is an apocalyptic number.

100113140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113140 is an abundant number, since it is smaller than the sum of its proper divisors (110442100).

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

100113140 is a wasteful number, since it uses less digits than its factorization.

100113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 100113140 is about 10005.6554008221. The cubic root of 100113140 is about 464.3338671725. Note that the first 3 decimals are identical.

Adding to 100113140 its reverse (41311001), we get a palindrome (141424141).

It can be divided in two parts, 1001 and 13140, that added together give a palindrome (14141).

The spelling of 100113140 in words is "one hundred million, one hundred thirteen thousand, one hundred forty".