101604096 has 216 divisors, whose sum is σ = 337995840. Its totient is φ = 29030400.

The previous prime is 101604089. The next prime is 101604119. The reversal of 101604096 is 690406101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481431 + ... + 481641.

Almost surely, 2^101604096 is an apocalyptic number.

101604096 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 101604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168997920).

101604096 is an abundant number, since it is smaller than the sum of its proper divisors (236391744).

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

101604096 is a wasteful number, since it uses less digits than its factorization.

101604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101604096 is about 10079.8857136378. The cubic root of 101604096 is about 466.6275813070.

The spelling of 101604096 in words is "one hundred one million, six hundred four thousand, ninety-six".