106347825 has 72 divisors (see below), whose sum is σ = 200145920. Its totient is φ = 53913600.

The previous prime is 106347823. The next prime is 106347833. The reversal of 106347825 is 528743601.

106347825 is a `hidden beast` number, since 10 + 634 + 7 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 106347825 - 2¹ = 106347823 is a prime.

It is a super-2 number, since 2×106347825² = 22619719764461250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106347825.

It is not an unprimeable number, because it can be changed into a prime (106347823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 550929 + ... + 551121.

Almost surely, 2^106347825 is an apocalyptic number.

106347825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106347825 is a deficient number, since it is larger than the sum of its proper divisors (93798095).

106347825 is a wasteful number, since it uses less digits than its factorization.

106347825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 106347825 is about 10312.5081818149. The cubic root of 106347825 is about 473.7794332444.

The spelling of 106347825 in words is "one hundred six million, three hundred forty-seven thousand, eight hundred twenty-five".