10106557171116 has 48 divisors (see below), whose sum is σ = 27002350443264. Its totient is φ = 2882066550336.

The previous prime is 10106557171069. The next prime is 10106557171121. The reversal of 10106557171116 is 61117175560101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114981075 + ... + 115068938.

It is an arithmetic number, because the mean of its divisors is an integer number (562548967568).

Almost surely, 2^{10106557171116} is an apocalyptic number.

It is an amenable number.

10106557171116 is an abundant number, since it is smaller than the sum of its proper divisors (16895793272148).

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

10106557171116 is a wasteful number, since it uses less digits than its factorization.

10106557171116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230050550 (or 230050548 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 42.

The spelling of 10106557171116 in words is "ten trillion, one hundred six billion, five hundred fifty-seven million, one hundred seventy-one thousand, one hundred sixteen".