101521160 has 64 divisors (see below), whose sum is σ = 248557680. Its totient is φ = 37094400.

The previous prime is 101521157. The next prime is 101521177. The reversal of 101521160 is 61125101.

It can be written as a sum of positive squares in 8 ways, for example, as 62758084 + 38763076 = 7922^2 + 6226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51554 + ... + 53486.

Almost surely, 2^101521160 is an apocalyptic number.

101521160 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 101521160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124278840).

101521160 is an abundant number, since it is smaller than the sum of its proper divisors (147036520).

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

101521160 is a wasteful number, since it uses less digits than its factorization.

101521160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 101521160 is about 10075.7709382459. The cubic root of 101521160 is about 466.5005826220.

Adding to 101521160 its reverse (61125101), we get a palindrome (162646261).

The spelling of 101521160 in words is "one hundred one million, five hundred twenty-one thousand, one hundred sixty".