106303725 has 96 divisors (see below), whose sum is σ = 216652800. Its totient is φ = 50673600.

The previous prime is 106303721. The next prime is 106303739. The reversal of 106303725 is 527303601.

It is a happy number.

106303725 is a `hidden beast` number, since 1 + 0 + 630 + 3 + 7 + 25 = 666.

It is not a de Polignac number, because 106303725 - 2² = 106303721 is a prime.

It is a super-2 number, since 2×106303725² = 22600963897751250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 764706 + ... + 764844.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2^106303725 is an apocalyptic number.

106303725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106303725 is an abundant number, since it is smaller than the sum of its proper divisors (110349075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106303725 is a wasteful number, since it uses less digits than its factorization.

106303725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 106303725 is about 10310.3697799836. The cubic root of 106303725 is about 473.7139357077.

The spelling of 106303725 in words is "one hundred six million, three hundred three thousand, seven hundred twenty-five".