101604552 has 128 divisors (see below), whose sum is σ = 309120000. Its totient is φ = 27184896.

The previous prime is 101604521. The next prime is 101604599. The reversal of 101604552 is 255406101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443574 + ... + 443802.

It is an arithmetic number, because the mean of its divisors is an integer number (2415000).

Almost surely, 2^101604552 is an apocalyptic number.

101604552 is a gapful number since it is divisible by the number (12) 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 101604552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154560000).

101604552 is an abundant number, since it is smaller than the sum of its proper divisors (207515448).

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

101604552 is a wasteful number, since it uses less digits than its factorization.

101604552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 101604552 is about 10079.9083329165. The cubic root of 101604552 is about 466.6282793821.

The spelling of 101604552 in words is "one hundred one million, six hundred four thousand, five hundred fifty-two".