42100656 has 160 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 11860992.

The previous prime is 42100631. The next prime is 42100661. The reversal of 42100656 is 65600124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628335 + ... + 628401.

It is an arithmetic number, because the mean of its divisors is an integer number (796824).

Almost surely, 2^42100656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

42100656 is an abundant number, since it is smaller than the sum of its proper divisors (85391184).

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

42100656 is a wasteful number, since it uses less digits than its factorization.

42100656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42100656 is about 6488.5018301608. The cubic root of 42100656 is about 347.8801278244.

The spelling of 42100656 in words is "forty-two million, one hundred thousand, six hundred fifty-six".