100105500005046 has 64 divisors (see below), whose sum is σ = 222726368010240. Its totient is φ = 33328056242880.

The previous prime is 100105500004973. The next prime is 100105500005087. The reversal of 100105500005046 is 640500005501001.

It is a happy number.

100105500005046 is a `hidden beast` number, since 1 + 0 + 0 + 105 + 50 + 0 + 0 + 0 + 504 + 6 = 666.

It is a super-2 number, since 2×100105500005046² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

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, 322151211 + ... + 322461801.

It is an arithmetic number, because the mean of its divisors is an integer number (3480099500160).

Almost surely, 2^{100105500005046} is an apocalyptic number.

100105500005046 is an abundant number, since it is smaller than the sum of its proper divisors (122620868005194).

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

100105500005046 is a wasteful number, since it uses less digits than its factorization.

100105500005046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317818 (or 317812 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 100105500005046 its reverse (640500005501001), we get a palindrome (740605505506047).

The spelling of 100105500005046 in words is "one hundred trillion, one hundred five billion, five hundred million, five thousand, forty-six".