106292304 has 80 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 34283520.

The previous prime is 106292293. The next prime is 106292311. The reversal of 106292304 is 403292601.

106292304 is a `hidden beast` number, since 1 + 0 + 629 + 2 + 30 + 4 = 666.

It is a super-2 number, since 2×106292304² = 22596107779256832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9424 + ... + 17360.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^106292304 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 106292304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

106292304 is an abundant number, since it is smaller than the sum of its proper divisors (208687536).

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

106292304 is a wasteful number, since it uses less digits than its factorization.

106292304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106292304 is about 10309.8159052429. The cubic root of 106292304 is about 473.6969702294.

The spelling of 106292304 in words is "one hundred six million, two hundred ninety-two thousand, three hundred four".