106652304 has 90 divisors (see below), whose sum is σ = 328133078. Its totient is φ = 32313600.

The previous prime is 106652303. The next prime is 106652323. The reversal of 106652304 is 403256601.

106652304 is a `hidden beast` number, since 1 + 0 + 6 + 652 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 35283600 = 8448^2 + 5940^2 .

It is a super-2 number, since 2×106652304² = 22749427897016832, which contains 22 as substring.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (106652303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14364 + ... + 20484.

Almost surely, 2^106652304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106652304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164066539).

106652304 is an abundant number, since it is smaller than the sum of its proper divisors (221480774).

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

106652304 is a wasteful number, since it uses less digits than its factorization.

106652304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6157 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106652304 is about 10327.2602368682. The cubic root of 106652304 is about 474.2311536128.

The spelling of 106652304 in words is "one hundred six million, six hundred fifty-two thousand, three hundred four".