106410625 has 20 divisors (see below), whose sum is σ = 134535060. Its totient is φ = 84128000.

The previous prime is 106410613. The next prime is 106410637. The reversal of 106410625 is 526014601.

It is an interprime number because it is at equal distance from previous prime (106410613) and next prime (106410637).

It can be written as a sum of positive squares in 10 ways, for example, as 77862976 + 28547649 = 8824^2 + 5343^2 .

It is not a de Polignac number, because 106410625 - 2¹⁷ = 106279553 is a prime.

It is a super-2 number, since 2×106410625² = 22646442225781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 106410625.

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 19 ways as a sum of consecutive naturals, for example, 54669 + ... + 56581.

It is an arithmetic number, because the mean of its divisors is an integer number (6726753).

Almost surely, 2^106410625 is an apocalyptic number.

It is an amenable number.

106410625 is a deficient number, since it is larger than the sum of its proper divisors (28124435).

106410625 is an frugal number, since it uses more digits than its factorization.

106410625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 106410625 is about 10315.5525785098. The cubic root of 106410625 is about 473.8726728687.

The spelling of 106410625 in words is "one hundred six million, four hundred ten thousand, six hundred twenty-five".