106045956 has 48 divisors (see below), whose sum is σ = 275531200. Its totient is φ = 35271936.

The previous prime is 106045937. The next prime is 106045993. The reversal of 106045956 is 659540601.

106045956 is a `hidden beast` number, since 1 + 0 + 60 + 4 + 595 + 6 = 666.

It is a super-2 number, since 2×106045956² = 22491489567907872, which contains 22 as substring.

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 106045956.

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, 71955 + ... + 73413.

Almost surely, 2^106045956 is an apocalyptic number.

It is an amenable number.

106045956 is an abundant number, since it is smaller than the sum of its proper divisors (169485244).

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

106045956 is a wasteful number, since it uses less digits than its factorization.

106045956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106045956 is about 10297.8617197941. The cubic root of 106045956 is about 473.3307330854.

The spelling of 106045956 in words is "one hundred six million, forty-five thousand, nine hundred fifty-six".