100105500505051 has 16 divisors (see below), whose sum is σ = 108380563387200. Its totient is φ = 92176920557568.

The previous prime is 100105500504899. The next prime is 100105500505091. The reversal of 100105500505051 is 150505005501001.

It is a cyclic number.

It is not a de Polignac number, because 100105500505051 - 2⁹ = 100105500504539 is a prime.

It is a super-2 number, since 2×100105500505051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105500505091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222450606 + ... + 222900163.

It is an arithmetic number, because the mean of its divisors is an integer number (6773785211700).

Almost surely, 2^{100105500505051} is an apocalyptic number.

100105500505051 is a deficient number, since it is larger than the sum of its proper divisors (8275062882149).

100105500505051 is a wasteful number, since it uses less digits than its factorization.

100105500505051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445351158.

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 100105500505051 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred five thousand, fifty-one".