100514034105 has 32 divisors (see below), whose sum is σ = 162296732928. Its totient is φ = 53117856000.

The previous prime is 100514034079. The next prime is 100514034149. The reversal of 100514034105 is 501430415001.

It is a happy number.

It is not a de Polignac number, because 100514034105 - 2⁹ = 100514033593 is a prime.

It is a super-2 number, since 2×100514034105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843315 + ... + 955095.

It is an arithmetic number, because the mean of its divisors is an integer number (5071772904).

Almost surely, 2^100514034105 is an apocalyptic number.

100514034105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100514034105 is a deficient number, since it is larger than the sum of its proper divisors (61782698823).

100514034105 is a wasteful number, since it uses less digits than its factorization.

100514034105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112337.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 100514034105 its reverse (501430415001), we get a palindrome (601944449106).

The spelling of 100514034105 in words is "one hundred billion, five hundred fourteen million, thirty-four thousand, one hundred five".