10144766100 has 72 divisors (see below), whose sum is σ = 33545366848. Its totient is φ = 2318803200.

The previous prime is 10144766087. The next prime is 10144766111. The reversal of 10144766100 is 166744101.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2413321 + ... + 2417520.

Almost surely, 2^10144766100 is an apocalyptic number.

10144766100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144766100 is an abundant number, since it is smaller than the sum of its proper divisors (23400600748).

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

10144766100 is a wasteful number, since it uses less digits than its factorization.

10144766100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830865 (or 4830858 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10144766100 in words is "ten billion, one hundred forty-four million, seven hundred sixty-six thousand, one hundred".