102910830 has 64 divisors (see below), whose sum is σ = 270978048. Its totient is φ = 24805760.

The previous prime is 102910823. The next prime is 102910867. The reversal of 102910830 is 38019201.

It is a self number, because there is not a number n which added to its sum of digits gives 102910830.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64219 + ... + 65801.

It is an arithmetic number, because the mean of its divisors is an integer number (4234032).

Almost surely, 2^102910830 is an apocalyptic number.

102910830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102910830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135489024).

102910830 is an abundant number, since it is smaller than the sum of its proper divisors (168067218).

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

102910830 is a wasteful number, since it uses less digits than its factorization.

102910830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 102910830 is about 10144.4975232882. The cubic root of 102910830 is about 468.6195042968.

It can be divided in two parts, 102910 and 830, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 102910830 in words is "one hundred two million, nine hundred ten thousand, eight hundred thirty".