106522752 has 128 divisors (see below), whose sum is σ = 337628160. Its totient is φ = 29094912.

The previous prime is 106522747. The next prime is 106522753. The reversal of 106522752 is 257225601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106522752² = 22694193387307008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) 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 (106522753) 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, 60963 + ... + 62685.

It is an arithmetic number, because the mean of its divisors is an integer number (2637720).

Almost surely, 2^106522752 is an apocalyptic number.

106522752 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 106522752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168814080).

106522752 is an abundant number, since it is smaller than the sum of its proper divisors (231105408).

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

106522752 is a wasteful number, since it uses less digits than its factorization.

106522752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 106522752 is about 10320.9859994092. The cubic root of 106522752 is about 474.0390574734.

The spelling of 106522752 in words is "one hundred six million, five hundred twenty-two thousand, seven hundred fifty-two".