101716896 has 48 divisors (see below), whose sum is σ = 267732864. Its totient is φ = 33813504.

The previous prime is 101716889. The next prime is 101716897. The reversal of 101716896 is 698617101.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (101716897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40345 + ... + 42791.

It is an arithmetic number, because the mean of its divisors is an integer number (5577768).

Almost surely, 2^101716896 is an apocalyptic number.

101716896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101716896 is an abundant number, since it is smaller than the sum of its proper divisors (166015968).

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

101716896 is a wasteful number, since it uses less digits than its factorization.

101716896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 101716896 is about 10085.4794630697. The cubic root of 101716896 is about 466.8001994288.

The spelling of 101716896 in words is "one hundred one million, seven hundred sixteen thousand, eight hundred ninety-six".