101157440 has 56 divisors (see below), whose sum is σ = 241840512. Its totient is φ = 40302080.

The previous prime is 101157439. The next prime is 101157451. The reversal of 101157440 is 44751101.

It is a happy 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, 110585 + ... + 111495.

Almost surely, 2^101157440 is an apocalyptic number.

101157440 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 101157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120920256).

101157440 is an abundant number, since it is smaller than the sum of its proper divisors (140683072).

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

101157440 is an equidigital number, since it uses as much as digits as its factorization.

101157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 101157440 is about 10057.7055037419. The cubic root of 101157440 is about 465.9428052137.

The spelling of 101157440 in words is "one hundred one million, one hundred fifty-seven thousand, four hundred forty".