106805264 has 20 divisors (see below), whose sum is σ = 207097980. Its totient is φ = 53360640.

The previous prime is 106805243. The next prime is 106805297. The reversal of 106805264 is 462508601.

It can be written as a sum of positive squares in 2 ways, for example, as 84640000 + 22165264 = 9200^2 + 4708^2 .

It is a super-2 number, since 2×106805264² = 22814728836219392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106805264.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33032 + ... + 36120.

It is an arithmetic number, because the mean of its divisors is an integer number (10354899).

Almost surely, 2^106805264 is an apocalyptic number.

It is an amenable number.

106805264 is a deficient number, since it is larger than the sum of its proper divisors (100292716).

106805264 is a wasteful number, since it uses less digits than its factorization.

106805264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 106805264 is about 10334.6632262498. The cubic root of 106805264 is about 474.4577583340.

The spelling of 106805264 in words is "one hundred six million, eight hundred five thousand, two hundred sixty-four".