101995520 has 88 divisors (see below), whose sum is σ = 267059808. Its totient is φ = 37068800.

The previous prime is 101995519. The next prime is 101995561. The reversal of 101995520 is 25599101.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×101995520² = 20806172200140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55415 + ... + 57225.

Almost surely, 2^101995520 is an apocalyptic number.

101995520 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 101995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133529904).

101995520 is an abundant number, since it is smaller than the sum of its proper divisors (165064288).

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

101995520 is a wasteful number, since it uses less digits than its factorization.

101995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 32.

The square root of 101995520 is about 10099.2831428770. The cubic root of 101995520 is about 467.2260322018.

The spelling of 101995520 in words is "one hundred one million, nine hundred ninety-five thousand, five hundred twenty".