101932096 has 84 divisors (see below), whose sum is σ = 238483648. Its totient is φ = 42340608.

The previous prime is 101932079. The next prime is 101932121. The reversal of 101932096 is 690239101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 989581 + ... + 989683.

Almost surely, 2^101932096 is an apocalyptic number.

101932096 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 101932096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119241824).

101932096 is an abundant number, since it is smaller than the sum of its proper divisors (136551552).

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

101932096 is an equidigital number, since it uses as much as digits as its factorization.

101932096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 101932096 is about 10096.1426297374. The cubic root of 101932096 is about 467.1291668745.

The spelling of 101932096 in words is "one hundred one million, nine hundred thirty-two thousand, ninety-six".