101892096 has 90 divisors (see below), whose sum is σ = 294771932. Its totient is φ = 33914880.

The previous prime is 101892083. The next prime is 101892107. The reversal of 101892096 is 690298101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101892096.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147111 + ... + 147801.

Almost surely, 2^101892096 is an apocalyptic number.

101892096 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 101892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147385966).

101892096 is an abundant number, since it is smaller than the sum of its proper divisors (192879836).

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

101892096 is an frugal number, since it uses more digits than its factorization.

101892096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 101892096 is about 10094.1614807769. The cubic root of 101892096 is about 467.0680555658.

The spelling of 101892096 in words is "one hundred one million, eight hundred ninety-two thousand, ninety-six".