106250625 has 60 divisors (see below), whose sum is σ = 206674468. Its totient is φ = 52272000.

The previous prime is 106250621. The next prime is 106250633. The reversal of 106250625 is 526052601.

106250625 is a `hidden beast` number, since 10 + 6 + 25 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 70358544 + 35892081 = 8388^2 + 5991^2 .

It is not a de Polignac number, because 106250625 - 2² = 106250621 is a prime.

It is a super-2 number, since 2×106250625² = 22578390625781250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106250621) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 72399 + ... + 73851.

Almost surely, 2^106250625 is an apocalyptic number.

106250625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106250625 is a deficient number, since it is larger than the sum of its proper divisors (100423843).

106250625 is a wasteful number, since it uses less digits than its factorization.

106250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106250625 is about 10307.7943809527. The cubic root of 106250625 is about 473.6350472855.

The spelling of 106250625 in words is "one hundred six million, two hundred fifty thousand, six hundred twenty-five".