105002354115121 has 32 divisors (see below), whose sum is σ = 110737698048000. Its totient is φ = 99431209152000.

The previous prime is 105002354115091. The next prime is 105002354115173. The reversal of 105002354115121 is 121511453200501.

It is a cyclic number.

It is not a de Polignac number, because 105002354115121 - 2⁵ = 105002354115089 is a prime.

It is a super-2 number, since 2×105002354115121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (105002354115521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833211931 + ... + 2833248991.

It is an arithmetic number, because the mean of its divisors is an integer number (3460553064000).

Almost surely, 2^{105002354115121} is an apocalyptic number.

It is an amenable number.

105002354115121 is a deficient number, since it is larger than the sum of its proper divisors (5735343932879).

105002354115121 is a wasteful number, since it uses less digits than its factorization.

105002354115121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44881.

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 105002354115121 in words is "one hundred five trillion, two billion, three hundred fifty-four million, one hundred fifteen thousand, one hundred twenty-one".