106257625 has 8 divisors (see below), whose sum is σ = 132609672. Its totient is φ = 85006000.

The previous prime is 106257563. The next prime is 106257659. The reversal of 106257625 is 526752601.

It can be written as a sum of positive squares in 4 ways, for example, as 14653584 + 91604041 = 3828^2 + 9571^2 .

It is not a de Polignac number, because 106257625 - 2¹³ = 106249433 is a prime.

It is a super-2 number, since 2×106257625² = 22581365741281250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424906 + ... + 425155.

It is an arithmetic number, because the mean of its divisors is an integer number (16576209).

Almost surely, 2^106257625 is an apocalyptic number.

It is an amenable number.

106257625 is a deficient number, since it is larger than the sum of its proper divisors (26352047).

106257625 is an frugal number, since it uses more digits than its factorization.

106257625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850076 (or 850066 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 106257625 is about 10308.1339242367. The cubic root of 106257625 is about 473.6454483930.

It can be divided in two parts, 1062576 and 25, that added together give a palindrome (1062601).

The spelling of 106257625 in words is "one hundred six million, two hundred fifty-seven thousand, six hundred twenty-five".