106011625 has 16 divisors (see below), whose sum is σ = 132591888. Its totient is φ = 84624000.

The previous prime is 106011593. The next prime is 106011629. The reversal of 106011625 is 526110601.

It can be written as a sum of positive squares in 8 ways, for example, as 17952169 + 88059456 = 4237^2 + 9384^2 .

It is not a de Polignac number, because 106011625 - 2⁵ = 106011593 is a prime.

It is a super-2 number, since 2×106011625² = 22476929270281250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106011596 and 106011605.

It is not an unprimeable number, because it can be changed into a prime (106011629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102109 + ... + 103141.

It is an arithmetic number, because the mean of its divisors is an integer number (8286993).

Almost surely, 2^106011625 is an apocalyptic number.

It is an amenable number.

106011625 is a deficient number, since it is larger than the sum of its proper divisors (26580263).

106011625 is an equidigital number, since it uses as much as digits as its factorization.

106011625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 106011625 is about 10296.1946854165. The cubic root of 106011625 is about 473.2796493481.

The spelling of 106011625 in words is "one hundred six million, eleven thousand, six hundred twenty-five".