100152114345 has 36 divisors (see below), whose sum is σ = 174015233028. Its totient is φ = 53286081600.

The previous prime is 100152114313. The next prime is 100152114353. The reversal of 100152114345 is 543411251001.

100152114345 is a `hidden beast` number, since 1 + 0 + 0 + 15 + 211 + 434 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72330875136 + 27821239209 = 268944^2 + 166797^2 .

It is not a de Polignac number, because 100152114345 - 2⁵ = 100152114313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8353255 + ... + 8365235.

It is an arithmetic number, because the mean of its divisors is an integer number (4833756473).

Almost surely, 2^100152114345 is an apocalyptic number.

100152114345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100152114345 is a deficient number, since it is larger than the sum of its proper divisors (73863118683).

100152114345 is an equidigital number, since it uses as much as digits as its factorization.

100152114345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12854 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 100152114345 its reverse (543411251001), we get a palindrome (643563365346).

The spelling of 100152114345 in words is "one hundred billion, one hundred fifty-two million, one hundred fourteen thousand, three hundred forty-five".