101942656 has 48 divisors (see below), whose sum is σ = 210555540. Its totient is φ = 49161728.

The previous prime is 101942653. The next prime is 101942669. The reversal of 101942656 is 656249101.

It is a super-2 number, since 2×101942656² = 20784610224668672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101942653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107175 + ... + 108121.

Almost surely, 2^101942656 is an apocalyptic number.

101942656 is a gapful number since it is divisible by the number (16) 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 101942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105277770).

101942656 is an abundant number, since it is smaller than the sum of its proper divisors (108612884).

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

101942656 is an frugal number, since it uses more digits than its factorization.

101942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 101942656 is about 10096.6655882029. The cubic root of 101942656 is about 467.1452975924.

The spelling of 101942656 in words is "one hundred one million, nine hundred forty-two thousand, six hundred fifty-six".