106407693 has 24 divisors (see below), whose sum is σ = 177223488. Its totient is φ = 60262272.

The previous prime is 106407689. The next prime is 106407703. The reversal of 106407693 is 396704601.

106407693 is a `hidden beast` number, since 1 + 0 + 640 + 7 + 6 + 9 + 3 = 666.

It is not a de Polignac number, because 106407693 - 2² = 106407689 is a prime.

It is a super-2 number, since 2×106407693² = 22645194259164498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106407643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355 + ... + 14592.

It is an arithmetic number, because the mean of its divisors is an integer number (7384312).

Almost surely, 2^106407693 is an apocalyptic number.

It is an amenable number.

106407693 is a deficient number, since it is larger than the sum of its proper divisors (70815795).

106407693 is a wasteful number, since it uses less digits than its factorization.

106407693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15073 (or 15070 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106407693 is about 10315.4104620223. The cubic root of 106407693 is about 473.8683205231.

The spelling of 106407693 in words is "one hundred six million, four hundred seven thousand, six hundred ninety-three".