10106250525 has 180 divisors, whose sum is σ = 22736341408. Its totient is φ = 4346472960.

The previous prime is 10106250523. The next prime is 10106250563. The reversal of 10106250525 is 52505260101.

10106250525 is a `hidden beast` number, since 1 + 0 + 10 + 625 + 0 + 5 + 25 = 666.

It is not a de Polignac number, because 10106250525 - 2¹ = 10106250523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106250521) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4095342 + ... + 4097808.

Almost surely, 2^10106250525 is an apocalyptic number.

10106250525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10106250525 is an abundant number, since it is smaller than the sum of its proper divisors (12630090883).

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

10106250525 is a wasteful number, since it uses less digits than its factorization.

10106250525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10106250525 in words is "ten billion, one hundred six million, two hundred fifty thousand, five hundred twenty-five".