101607552 has 96 divisors (see below), whose sum is σ = 294544380. Its totient is φ = 33619968.

The previous prime is 101607533. The next prime is 101607559. The reversal of 101607552 is 255706101.

101607552 is a `hidden beast` number, since 1 + 0 + 1 + 607 + 5 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101123136 + 484416 = 10056^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (101607559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222108 + ... + 222564.

Almost surely, 2^101607552 is an apocalyptic number.

101607552 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 101607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147272190).

101607552 is an abundant number, since it is smaller than the sum of its proper divisors (192936828).

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

101607552 is a wasteful number, since it uses less digits than its factorization.

101607552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 101607552 is about 10080.0571426952. The cubic root of 101607552 is about 466.6328719292.

The spelling of 101607552 in words is "one hundred one million, six hundred seven thousand, five hundred fifty-two".