102744391680 has 1020 divisors, whose sum is σ = 433918409760. Its totient is φ = 23187161088.

The previous prime is 102744391657. The next prime is 102744391703. The reversal of 102744391680 is 86193447201.

It is an interprime number because it is at equal distance from previous prime (102744391657) and next prime (102744391703).

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 59 ways as a sum of consecutive naturals, for example, 1300561881 + ... + 1300561959.

Almost surely, 2^102744391680 is an apocalyptic number.

102744391680 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 102744391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216959204880).

102744391680 is an abundant number, since it is smaller than the sum of its proper divisors (331174018080).

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

102744391680 is an frugal number, since it uses more digits than its factorization.

102744391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 102744391680 in words is "one hundred two billion, seven hundred forty-four million, three hundred ninety-one thousand, six hundred eighty".