102999301920 has 432 divisors, whose sum is σ = 371394616320. Its totient is φ = 26984710656.

The previous prime is 102999301901. The next prime is 102999301931. The reversal of 102999301920 is 29103999201.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61935009 + ... + 61936671.

It is an arithmetic number, because the mean of its divisors is an integer number (859709760).

Almost surely, 2^102999301920 is an apocalyptic number.

102999301920 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 102999301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185697308160).

102999301920 is an abundant number, since it is smaller than the sum of its proper divisors (268395314400).

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

102999301920 is an frugal number, since it uses more digits than its factorization.

102999301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 102999301920 in words is "one hundred two billion, nine hundred ninety-nine million, three hundred one thousand, nine hundred twenty".