106256875 has 20 divisors (see below), whose sum is σ = 133607232. Its totient is φ = 84476000.

The previous prime is 106256869. The next prime is 106256881. The reversal of 106256875 is 578652601.

106256875 = T₂₄₂ + T₂₄₃ + ... + T₈₆₆.

It is an interprime number because it is at equal distance from previous prime (106256869) and next prime (106256881).

It is a de Polignac number, because none of the positive numbers 2^k-106256875 is a prime.

It is a super-2 number, since 2×106256875² = 22581046969531250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122694 + ... + 123556.

Almost surely, 2^106256875 is an apocalyptic number.

106256875 is a deficient number, since it is larger than the sum of its proper divisors (27350357).

106256875 is an frugal number, since it uses more digits than its factorization.

106256875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 106256875 is about 10308.0975451341. The cubic root of 106256875 is about 473.6443340105.

The spelling of 106256875 in words is "one hundred six million, two hundred fifty-six thousand, eight hundred seventy-five".