102751249920 has 640 divisors, whose sum is σ = 369425498112. Its totient is φ = 24153292800.

The previous prime is 102751249903. The next prime is 102751249999. The reversal of 102751249920 is 29942157201.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654466482 + ... + 654466638.

Almost surely, 2^102751249920 is an apocalyptic number.

102751249920 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 102751249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184712749056).

102751249920 is an abundant number, since it is smaller than the sum of its proper divisors (266674248192).

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

102751249920 is a wasteful number, since it uses less digits than its factorization.

102751249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 102751249920 in words is "one hundred two billion, seven hundred fifty-one million, two hundred forty-nine thousand, nine hundred twenty".