106407072 has 36 divisors (see below), whose sum is σ = 302595930. Its totient is φ = 35468928.

The previous prime is 106407071. The next prime is 106407083. The reversal of 106407072 is 270704601.

106407072 is a `hidden beast` number, since 10 + 640 + 7 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105760656 + 646416 = 10284^2 + 804^2 .

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

It is a super-2 number, since 2×106407072² = 22644929943226368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106407071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184447 + ... + 185022.

Almost surely, 2^106407072 is an apocalyptic number.

106407072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106407072 is an abundant number, since it is smaller than the sum of its proper divisors (196188858).

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

106407072 is a wasteful number, since it uses less digits than its factorization.

106407072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369485 (or 369474 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 106407072 is about 10315.3803613827. The cubic root of 106407072 is about 473.8673986825.

The spelling of 106407072 in words is "one hundred six million, four hundred seven thousand, seventy-two".