102761716100 has 36 divisors (see below), whose sum is σ = 232688273664. Its totient is φ = 39317525280.

The previous prime is 102761716081. The next prime is 102761716151. The reversal of 102761716100 is 1617167201.

102761716100 is digitally balanced in base 3, 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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22337204 + ... + 22341803.

Almost surely, 2^102761716100 is an apocalyptic number.

102761716100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102761716100 is an abundant number, since it is smaller than the sum of its proper divisors (129926557564).

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

102761716100 is a wasteful number, since it uses less digits than its factorization.

102761716100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44679044 (or 44679037 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 102761716100 in words is "one hundred two billion, seven hundred sixty-one million, seven hundred sixteen thousand, one hundred".