101688496 has 80 divisors (see below), whose sum is σ = 244373248. Its totient is φ = 39916800.

The previous prime is 101688493. The next prime is 101688527. The reversal of 101688496 is 694886101.

It is not an unprimeable number, because it can be changed into a prime (101688491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307051 + ... + 307381.

Almost surely, 2^101688496 is an apocalyptic number.

101688496 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 101688496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122186624).

101688496 is an abundant number, since it is smaller than the sum of its proper divisors (142684752).

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

101688496 is a wasteful number, since it uses less digits than its factorization.

101688496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 101688496 is about 10084.0713999852. The cubic root of 101688496 is about 466.7567508632.

The spelling of 101688496 in words is "one hundred one million, six hundred eighty-eight thousand, four hundred ninety-six".