100105500105051 has 24 divisors (see below), whose sum is σ = 155279756646720. Its totient is φ = 57197954438352.

The previous prime is 100105500105047. The next prime is 100105500105113. The reversal of 100105500105051 is 150501005501001.

It is not a de Polignac number, because 100105500105051 - 2² = 100105500105047 is a prime.

It is a super-3 number, since 3×100105500105051³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100105500105011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29257321 + ... + 32499258.

It is an arithmetic number, because the mean of its divisors is an integer number (6469989860280).

Almost surely, 2^{100105500105051} is an apocalyptic number.

100105500105051 is a deficient number, since it is larger than the sum of its proper divisors (55174256541669).

100105500105051 is a wasteful number, since it uses less digits than its factorization.

100105500105051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61767623 (or 61767616 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 100105500105051 its reverse (150501005501001), we get a palindrome (250606505606052).

The spelling of 100105500105051 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred five thousand, fifty-one".