106400125 has 32 divisors (see below), whose sum is σ = 146581344. Its totient is φ = 76608000.

The previous prime is 106400117. The next prime is 106400131. The reversal of 106400125 is 521004601.

It can be written as a sum of positive squares in 16 ways, for example, as 105945849 + 454276 = 10293^2 + 674^2 .

It is not a de Polignac number, because 106400125 - 2³ = 106400117 is a prime.

It is a super-2 number, since 2×106400125² = 22641973200031250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65827 + ... + 67423.

It is an arithmetic number, because the mean of its divisors is an integer number (4580667).

Almost surely, 2^106400125 is an apocalyptic number.

It is an amenable number.

106400125 is a deficient number, since it is larger than the sum of its proper divisors (40181219).

106400125 is a wasteful number, since it uses less digits than its factorization.

106400125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 106400125 is about 10315.0436256954. The cubic root of 106400125 is about 473.8570859955.

Adding to 106400125 its reverse (521004601), we get a palindrome (627404726).

The spelling of 106400125 in words is "one hundred six million, four hundred thousand, one hundred twenty-five".