15105666121 has 64 divisors (see below), whose sum is σ = 20135001600. Its totient is φ = 10998374400.

The previous prime is 15105666061. The next prime is 15105666133. The reversal of 15105666121 is 12166650151.

It is not a de Polignac number, because 15105666121 - 2²⁹ = 14568795209 is a prime.

It is a super-2 number, since 2×15105666121² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15105660121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28993341 + ... + 28993861.

It is an arithmetic number, because the mean of its divisors is an integer number (314609400).

Almost surely, 2^15105666121 is an apocalyptic number.

It is an amenable number.

15105666121 is a deficient number, since it is larger than the sum of its proper divisors (5029335479).

15105666121 is a wasteful number, since it uses less digits than its factorization.

15105666121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 15105666121 in words is "fifteen billion, one hundred five million, six hundred sixty-six thousand, one hundred twenty-one".