101656968 has 128 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 28374528.

The previous prime is 101656943. The next prime is 101657063. The reversal of 101656968 is 869656101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 436180 + ... + 436412.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 2^101656968 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 101656968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

101656968 is an abundant number, since it is smaller than the sum of its proper divisors (201607032).

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

101656968 is a wasteful number, since it uses less digits than its factorization.

101656968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 101656968 is about 10082.5080213209. The cubic root of 101656968 is about 466.7085073596.

The spelling of 101656968 in words is "one hundred one million, six hundred fifty-six thousand, nine hundred sixty-eight".