10077006700 has 72 divisors (see below), whose sum is σ = 23256292752. Its totient is φ = 3776839680.

The previous prime is 10077006673. The next prime is 10077006749. The reversal of 10077006700 is 760077001.

10077006700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 372844 + ... + 398956.

It is an arithmetic number, because the mean of its divisors is an integer number (323004066).

Almost surely, 2^10077006700 is an apocalyptic number.

10077006700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10077006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628146376).

10077006700 is an abundant number, since it is smaller than the sum of its proper divisors (13179286052).

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

10077006700 is a wasteful number, since it uses less digits than its factorization.

10077006700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26371 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 28.

The spelling of 10077006700 in words is "ten billion, seventy-seven million, six thousand, seven hundred".