106311825 has 48 divisors (see below), whose sum is σ = 202070400. Its totient is φ = 54734400.

The previous prime is 106311823. The next prime is 106311847. The reversal of 106311825 is 528113601.

106311825 is a `hidden beast` number, since 1 + 0 + 631 + 1 + 8 + 25 = 666.

It is not a de Polignac number, because 106311825 - 2¹ = 106311823 is a prime.

It is a super-2 number, since 2×106311825² = 22604408269661250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106311823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16860 + ... + 22290.

It is an arithmetic number, because the mean of its divisors is an integer number (4209800).

Almost surely, 2^106311825 is an apocalyptic number.

106311825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106311825 is a deficient number, since it is larger than the sum of its proper divisors (95758575).

106311825 is a wasteful number, since it uses less digits than its factorization.

106311825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 106311825 is about 10310.7625809151. The cubic root of 106311825 is about 473.7259672253.

The spelling of 106311825 in words is "one hundred six million, three hundred eleven thousand, eight hundred twenty-five".