101099520 has 144 divisors (see below), whose sum is σ = 350712180. Its totient is φ = 26935296.

The previous prime is 101099497. The next prime is 101099521. The reversal of 101099520 is 25990101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97772544 + 3326976 = 9888^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×101099520² = 20442225888460800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (101099521) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 91612 + ... + 92708.

Almost surely, 2^101099520 is an apocalyptic number.

101099520 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 101099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175356090).

101099520 is an abundant number, since it is smaller than the sum of its proper divisors (249612660).

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

101099520 is a wasteful number, since it uses less digits than its factorization.

101099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 101099520 is about 10054.8257070921. The cubic root of 101099520 is about 465.8538595080.

The spelling of 101099520 in words is "one hundred one million, ninety-nine thousand, five hundred twenty".