100505511001134 has 48 divisors (see below), whose sum is σ = 220509605311632. Its totient is φ = 33079573649664.

The previous prime is 100505511001111. The next prime is 100505511001169. The reversal of 100505511001134 is 431100115505001.

100505511001134 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 551 + 100 + 1 + 1 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100505511001098 and 100505511001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16273909 + ... + 21583584.

It is an arithmetic number, because the mean of its divisors is an integer number (4593950110659).

Almost surely, 2^{100505511001134} is an apocalyptic number.

100505511001134 is an abundant number, since it is smaller than the sum of its proper divisors (120004094310498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100505511001134 is a wasteful number, since it uses less digits than its factorization.

100505511001134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37859361 (or 37859358 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 100505511001134 its reverse (431100115505001), we get a palindrome (531605626506135).

The spelling of 100505511001134 in words is "one hundred trillion, five hundred five billion, five hundred eleven million, one thousand, one hundred thirty-four".