101590940 has 48 divisors (see below), whose sum is σ = 238170240. Its totient is φ = 36079680.

The previous prime is 101590939. The next prime is 101590987. The reversal of 101590940 is 49095101.

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 15 ways as a sum of consecutive naturals, for example, 4091 + ... + 14829.

It is an arithmetic number, because the mean of its divisors is an integer number (4961880).

Almost surely, 2^101590940 is an apocalyptic number.

101590940 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 101590940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119085120).

101590940 is an abundant number, since it is smaller than the sum of its proper divisors (136579300).

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

101590940 is a wasteful number, since it uses less digits than its factorization.

101590940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 101590940 is about 10079.2331057477. The cubic root of 101590940 is about 466.6074403295.

The spelling of 101590940 in words is "one hundred one million, five hundred ninety thousand, nine hundred forty".