102340115820 has 144 divisors (see below), whose sum is σ = 322267309728. Its totient is φ = 27262033920.

The previous prime is 102340115789. The next prime is 102340115863. The reversal of 102340115820 is 28511043201.

102340115820 is a `hidden beast` number, since 10 + 23 + 40 + 11 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 4834860 + ... + 4855980.

Almost surely, 2^102340115820 is an apocalyptic number.

102340115820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102340115820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161133654864).

102340115820 is an abundant number, since it is smaller than the sum of its proper divisors (219927193908).

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

102340115820 is a wasteful number, since it uses less digits than its factorization.

102340115820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22142 (or 22128 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 102340115820 in words is "one hundred two billion, three hundred forty million, one hundred fifteen thousand, eight hundred twenty".