101161600 has 96 divisors (see below), whose sum is σ = 253181340. Its totient is φ = 39936000.

The previous prime is 101161579. The next prime is 101161601. The reversal of 101161600 is 6161101.

It can be written as a sum of positive squares in 6 ways, for example, as 30735936 + 70425664 = 5544^2 + 8392^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101161601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323044 + ... + 323356.

Almost surely, 2^101161600 is an apocalyptic number.

101161600 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 101161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126590670).

101161600 is an abundant number, since it is smaller than the sum of its proper divisors (152019740).

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

101161600 is a wasteful number, since it uses less digits than its factorization.

101161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 101161600 is about 10057.9123082278. The cubic root of 101161600 is about 465.9491922724.

It can be divided in two parts, 101161 and 600, that added together give a square (101761 = 319²).

The spelling of 101161600 in words is "one hundred one million, one hundred sixty-one thousand, six hundred".