10768144470100 has 18 divisors (see below), whose sum is σ = 23366873500334. Its totient is φ = 4307257788000.

The previous prime is 10768144470059. The next prime is 10768144470151. The reversal of 10768144470100 is 107444186701.

It can be written as a sum of positive squares in 3 ways, for example, as 47732636484 + 10720411833616 = 218478^2 + 3274204^2 .

It is a congruent number.

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, 53840722251 + ... + 53840722450.

Almost surely, 2^{10768144470100} is an apocalyptic number.

10768144470100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10768144470100 is an abundant number, since it is smaller than the sum of its proper divisors (12598729030234).

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

10768144470100 is a wasteful number, since it uses less digits than its factorization.

10768144470100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107681444715 (or 107681444708 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 10768144470100 in words is "ten trillion, seven hundred sixty-eight billion, one hundred forty-four million, four hundred seventy thousand, one hundred".