100514514345 has 32 divisors (see below), whose sum is σ = 183813185280. Its totient is φ = 45945688320.

The previous prime is 100514514341. The next prime is 100514514367. The reversal of 100514514345 is 543415415001.

It is not a de Polignac number, because 100514514345 - 2² = 100514514341 is a prime.

It is a super-2 number, since 2×100514514345² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100514514341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1529055 + ... + 1593435.

It is an arithmetic number, because the mean of its divisors is an integer number (5744162040).

Almost surely, 2^100514514345 is an apocalyptic number.

100514514345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100514514345 is a deficient number, since it is larger than the sum of its proper divisors (83298670935).

100514514345 is a wasteful number, since it uses less digits than its factorization.

100514514345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79265.

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 100514514345 its reverse (543415415001), we get a palindrome (643929929346).

The spelling of 100514514345 in words is "one hundred billion, five hundred fourteen million, five hundred fourteen thousand, three hundred forty-five".