257087106 has 12 divisors (see below), whose sum is σ = 557022102. Its totient is φ = 85695696.

The previous prime is 257087099. The next prime is 257087113. The reversal of 257087106 is 601780752.

257087106 is a `hidden beast` number, since 2 + 570 + 87 + 1 + 0 + 6 = 666.

257087106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257087099) and next prime (257087113).

It can be written as a sum of positive squares in only one way, i.e., 151511481 + 105575625 = 12309^2 + 10275^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7141291 + ... + 7141326.

Almost surely, 2^257087106 is an apocalyptic number.

257087106 is an abundant number, since it is smaller than the sum of its proper divisors (299934996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257087106 is a wasteful number, since it uses less digits than its factorization.

257087106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14282625 (or 14282622 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 257087106 is about 16033.9360732167. The cubic root of 257087106 is about 635.8579396725.

It can be divided in two parts, 2570 and 87106, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 257087106 in words is "two hundred fifty-seven million, eighty-seven thousand, one hundred six".