101520864 has 120 divisors (see below), whose sum is σ = 304615080. Its totient is φ = 33156864.

The previous prime is 101520763. The next prime is 101520871. The reversal of 101520864 is 468025101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137007 + ... + 137745.

It is an arithmetic number, because the mean of its divisors is an integer number (2538459).

Almost surely, 2^101520864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101520864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152307540).

101520864 is an abundant number, since it is smaller than the sum of its proper divisors (203094216).

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

101520864 is an equidigital number, since it uses as much as digits as its factorization.

101520864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101520864 is about 10075.7562495328. The cubic root of 101520864 is about 466.5001292377.

Adding to 101520864 its reverse (468025101), we get a palindrome (569545965).

The spelling of 101520864 in words is "one hundred one million, five hundred twenty thousand, eight hundred sixty-four".