102842076100 has 27 divisors (see below), whose sum is σ = 223174264327. Its totient is φ = 41135547680.

The previous prime is 102842076097. The next prime is 102842076151. The reversal of 102842076100 is 1670248201.

The square root of 102842076100 is 320690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4717766596 + 98124309504 = 68686^2 + 313248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3190866 + ... + 3222934.

Almost surely, 2^102842076100 is an apocalyptic number.

102842076100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102842076100 is the 320690-th square number.

It is an amenable number.

102842076100 is an abundant number, since it is smaller than the sum of its proper divisors (120332188227).

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

102842076100 is an frugal number, since it uses more digits than its factorization.

102842076100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64152 (or 32076 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 102842076100 in words is "one hundred two billion, eight hundred forty-two million, seventy-six thousand, one hundred".