101552832 has 112 divisors (see below), whose sum is σ = 316199520. Its totient is φ = 31850496.

The previous prime is 101552831. The next prime is 101552839. The reversal of 101552832 is 238255101.

It is a happy number.

101552832 is a `hidden beast` number, since 101 + 5 + 528 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101552796 and 101552805.

It is not an unprimeable number, because it can be changed into a prime (101552831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27648 + ... + 31104.

It is an arithmetic number, because the mean of its divisors is an integer number (2823210).

Almost surely, 2^101552832 is an apocalyptic number.

101552832 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 101552832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158099760).

101552832 is an abundant number, since it is smaller than the sum of its proper divisors (214646688).

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

101552832 is a wasteful number, since it uses less digits than its factorization.

101552832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 101552832 is about 10077.3425068318. The cubic root of 101552832 is about 466.5490896532.

The spelling of 101552832 in words is "one hundred one million, five hundred fifty-two thousand, eight hundred thirty-two".