100105214240466 has 12 divisors (see below), whose sum is σ = 216894630854382. Its totient is φ = 33368404746816.

The previous prime is 100105214240443. The next prime is 100105214240503. The reversal of 100105214240466 is 664042412501001.

100105214240466 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 52 + 142 + 4 + 0 + 466 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99070589603241 + 1034624637225 = 9953421^2 + 1017165^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100105214240466.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2780700395551 + ... + 2780700395586.

Almost surely, 2^{100105214240466} is an apocalyptic number.

100105214240466 is an abundant number, since it is smaller than the sum of its proper divisors (116789416613916).

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

100105214240466 is a wasteful number, since it uses less digits than its factorization.

100105214240466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561400791145 (or 5561400791142 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 100105214240466 its reverse (664042412501001), we get a palindrome (764147626741467).

The spelling of 100105214240466 in words is "one hundred trillion, one hundred five billion, two hundred fourteen million, two hundred forty thousand, four hundred sixty-six".