102474726100 has 36 divisors (see below), whose sum is σ = 222385571100. Its totient is φ = 40987048960.

The previous prime is 102474726043. The next prime is 102474726119. The reversal of 102474726100 is 1627474201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 83685904 + 102391040196 = 9148^2 + 319986^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1987446 + ... + 2038354.

It is an arithmetic number, because the mean of its divisors is an integer number (6177376975).

Almost surely, 2^102474726100 is an apocalyptic number.

102474726100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102474726100 is an abundant number, since it is smaller than the sum of its proper divisors (119910845000).

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

102474726100 is a wasteful number, since it uses less digits than its factorization.

102474726100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71052 (or 71045 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 102474726100 in words is "one hundred two billion, four hundred seventy-four million, seven hundred twenty-six thousand, one hundred".