101609600 has 96 divisors (see below), whose sum is σ = 254129940. Its totient is φ = 40140800.

The previous prime is 101609593. The next prime is 101609617. The reversal of 101609600 is 6906101.

It can be written as a sum of positive squares in 6 ways, for example, as 15936064 + 85673536 = 3992^2 + 9256^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 361460 + ... + 361740.

Almost surely, 2^101609600 is an apocalyptic number.

101609600 is a gapful number since it is divisible by the number (10) 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 101609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127064970).

101609600 is an abundant number, since it is smaller than the sum of its proper divisors (152520340).

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

101609600 is a wasteful number, since it uses less digits than its factorization.

101609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 101609600 is about 10080.1587289090. The cubic root of 101609600 is about 466.6360070560.

The spelling of 101609600 in words is "one hundred one million, six hundred nine thousand, six hundred".