106761825 has 18 divisors (see below), whose sum is σ = 191222694. Its totient is φ = 56939520.

The previous prime is 106761803. The next prime is 106761833. The reversal of 106761825 is 528167601.

106761825 is a `hidden beast` number, since 10 + 6 + 7 + 618 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22268961 + 84492864 = 4719^2 + 9192^2 .

It is not a de Polignac number, because 106761825 - 2⁵ = 106761793 is a prime.

It is a super-2 number, since 2×106761825² = 22796174554661250, 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 106761825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 237024 + ... + 237473.

It is an arithmetic number, because the mean of its divisors is an integer number (10623483).

Almost surely, 2^106761825 is an apocalyptic number.

106761825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106761825 is a deficient number, since it is larger than the sum of its proper divisors (84460869).

106761825 is a wasteful number, since it uses less digits than its factorization.

106761825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474513 (or 474505 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 106761825 is about 10332.5613958979. The cubic root of 106761825 is about 474.3934270313.

The spelling of 106761825 in words is "one hundred six million, seven hundred sixty-one thousand, eight hundred twenty-five".