102243313920 has 288 divisors, whose sum is σ = 360240773760. Its totient is φ = 24506859520.

The previous prime is 102243313901. The next prime is 102243313967. The reversal of 102243313920 is 29313342201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3745762 + ... + 3772958.

It is an arithmetic number, because the mean of its divisors is an integer number (1250836020).

Almost surely, 2^102243313920 is an apocalyptic number.

102243313920 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 102243313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180120386880).

102243313920 is an abundant number, since it is smaller than the sum of its proper divisors (257997459840).

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

102243313920 is a wasteful number, since it uses less digits than its factorization.

102243313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27321 (or 27307 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 102243313920 in words is "one hundred two billion, two hundred forty-three million, three hundred thirteen thousand, nine hundred twenty".