106409007 has 12 divisors (see below), whose sum is σ = 153808200. Its totient is φ = 70890288.

The previous prime is 106408999. The next prime is 106409021. The reversal of 106409007 is 700904601.

106409007 is a `hidden beast` number, since 10 + 640 + 9 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 106409007 - 2³ = 106408999 is a prime.

It is a super-2 number, since 2×106409007² = 22645753541452098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106409027) 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, 13744 + ... + 20042.

It is an arithmetic number, because the mean of its divisors is an integer number (12817350).

Almost surely, 2^106409007 is an apocalyptic number.

106409007 is a deficient number, since it is larger than the sum of its proper divisors (47399193).

106409007 is a wasteful number, since it uses less digits than its factorization.

106409007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 8179 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106409007 is about 10315.4741529413. The cubic root of 106409007 is about 473.8702710726.

The spelling of 106409007 in words is "one hundred six million, four hundred nine thousand, seven".