102705030268830 has 96 divisors (see below), whose sum is σ = 291583376723808. Its totient is φ = 24874722182400.

The previous prime is 102705030268823. The next prime is 102705030268849. The reversal of 102705030268830 is 38862030507201.

102705030268830 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 0 + 503 + 0 + 2 + 68 + 83 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47838609 + ... + 49939388.

It is an arithmetic number, because the mean of its divisors is an integer number (3037326840873).

Almost surely, 2^{102705030268830} is an apocalyptic number.

102705030268830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102705030268830 is an abundant number, since it is smaller than the sum of its proper divisors (188878346454978).

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

102705030268830 is a wasteful number, since it uses less digits than its factorization.

102705030268830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97779082 (or 97779079 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 102705030268830 in words is "one hundred two trillion, seven hundred five billion, thirty million, two hundred sixty-eight thousand, eight hundred thirty".