10106561151 has 12 divisors (see below), whose sum is σ = 14774251128. Its totient is φ = 6656529744.

The previous prime is 10106561117. The next prime is 10106561189. The reversal of 10106561151 is 15116560101.

10106561151 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 656 + 1 + 1 + 5 + 1 = 666.

10106561151 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10106561151 - 2¹¹ = 10106559103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106561551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6764020 + ... + 6765513.

It is an arithmetic number, because the mean of its divisors is an integer number (1231187594).

Almost surely, 2^10106561151 is an apocalyptic number.

10106561151 is a deficient number, since it is larger than the sum of its proper divisors (4667689977).

10106561151 is a wasteful number, since it uses less digits than its factorization.

10106561151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13529622 (or 13529619 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 10106561151 in words is "ten billion, one hundred six million, five hundred sixty-one thousand, one hundred fifty-one".