106256529 has 20 divisors (see below), whose sum is σ = 159015780. Its totient is φ = 70709760.

The previous prime is 106256509. The next prime is 106256539. The reversal of 106256529 is 925652601.

106256529 is a `hidden beast` number, since 1 + 0 + 625 + 6 + 5 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20657025 + 85599504 = 4545^2 + 9252^2 .

It is not a de Polignac number, because 106256529 - 2⁷ = 106256401 is a prime.

It is a super-2 number, since 2×106256529² = 22580899910255682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106256493 and 106256502.

It is not an unprimeable number, because it can be changed into a prime (106256509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70617 + ... + 72105.

It is an arithmetic number, because the mean of its divisors is an integer number (7950789).

Almost surely, 2^106256529 is an apocalyptic number.

It is an amenable number.

106256529 is a deficient number, since it is larger than the sum of its proper divisors (52759251).

106256529 is an equidigital number, since it uses as much as digits as its factorization.

106256529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106256529 is about 10308.0807621982. The cubic root of 106256529 is about 473.6438199069.

The spelling of 106256529 in words is "one hundred six million, two hundred fifty-six thousand, five hundred twenty-nine".