10377712100 has 36 divisors (see below), whose sum is σ = 25736727744. Its totient is φ = 3558072480.

The previous prime is 10377712099. The next prime is 10377712109. The reversal of 10377712100 is 121777301.

10377712100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10377712109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7411952 + ... + 7413351.

It is an arithmetic number, because the mean of its divisors is an integer number (714909104).

Almost surely, 2^10377712100 is an apocalyptic number.

10377712100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10377712100 is an abundant number, since it is smaller than the sum of its proper divisors (15359015644).

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

10377712100 is a wasteful number, since it uses less digits than its factorization.

10377712100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825324 (or 14825317 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 29.

The spelling of 10377712100 in words is "ten billion, three hundred seventy-seven million, seven hundred twelve thousand, one hundred".