100505506100505 has 64 divisors (see below), whose sum is σ = 179470809796608. Its totient is φ = 47610475868160.

The previous prime is 100505506100479. The next prime is 100505506100513. The reversal of 100505506100505 is 505001605505001.

It is not a de Polignac number, because 100505506100505 - 2²¹ = 100505504003353 is a prime.

It is a super-2 number, since 2×100505506100505² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6755947 + ... + 15705216.

It is an arithmetic number, because the mean of its divisors is an integer number (2804231403072).

Almost surely, 2^{100505506100505} is an apocalyptic number.

100505506100505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100505506100505 is a deficient number, since it is larger than the sum of its proper divisors (78965303696103).

100505506100505 is a wasteful number, since it uses less digits than its factorization.

100505506100505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22461806.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 100505506100505 in words is "one hundred trillion, five hundred five billion, five hundred six million, one hundred thousand, five hundred five".