106264476 has 36 divisors (see below), whose sum is σ = 269046232. Its totient is φ = 35364384.

The previous prime is 106264471. The next prime is 106264489. The reversal of 106264476 is 674462601.

106264476 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 644 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106264476² = 22584277719109152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106264476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106264471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24375 + ... + 28401.

Almost surely, 2^106264476 is an apocalyptic number.

It is an amenable number.

106264476 is an abundant number, since it is smaller than the sum of its proper divisors (162781756).

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

106264476 is a wasteful number, since it uses less digits than its factorization.

106264476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 106264476 is about 10308.4662292700. The cubic root of 106264476 is about 473.6556276632.

The spelling of 106264476 in words is "one hundred six million, two hundred sixty-four thousand, four hundred seventy-six".