106332264 has 40 divisors (see below), whose sum is σ = 297830610. Its totient is φ = 35443872.

The previous prime is 106332253. The next prime is 106332269. The reversal of 106332264 is 462233601.

106332264 is a `hidden beast` number, since 1 + 0 + 633 + 2 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91355364 + 14976900 = 9558^2 + 3870^2 .

It is a super-2 number, since 2×106332264² = 22613100734731392, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106332269) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81399 + ... + 82694.

Almost surely, 2^106332264 is an apocalyptic number.

It is an amenable number.

106332264 is an abundant number, since it is smaller than the sum of its proper divisors (191498346).

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

106332264 is a wasteful number, since it uses less digits than its factorization.

106332264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164111 (or 164098 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106332264 is about 10311.7536820853. The cubic root of 106332264 is about 473.7563240385.

Adding to 106332264 its reverse (462233601), we get a palindrome (568565865).

The spelling of 106332264 in words is "one hundred six million, three hundred thirty-two thousand, two hundred sixty-four".