106296892 has 96 divisors (see below), whose sum is σ = 223985664. Its totient is φ = 43718400.

The previous prime is 106296889. The next prime is 106296899. The reversal of 106296892 is 298692601.

It is a super-2 number, since 2×106296892² = 22598058497719328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106296899) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1742542 + ... + 1742602.

It is an arithmetic number, because the mean of its divisors is an integer number (2333184).

Almost surely, 2^106296892 is an apocalyptic number.

It is an amenable number.

106296892 is an abundant number, since it is smaller than the sum of its proper divisors (117688772).

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

106296892 is a wasteful number, since it uses less digits than its factorization.

106296892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 106296892 is about 10310.0384092398. The cubic root of 106296892 is about 473.7037856818.

The spelling of 106296892 in words is "one hundred six million, two hundred ninety-six thousand, eight hundred ninety-two".