102757481920 has 224 divisors, whose sum is σ = 264215587392. Its totient is φ = 37924896768.

The previous prime is 102757481891. The next prime is 102757481923. The reversal of 102757481920 is 29184757201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102757481923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93670812 + ... + 93671908.

Almost surely, 2^102757481920 is an apocalyptic number.

102757481920 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 102757481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132107793696).

102757481920 is an abundant number, since it is smaller than the sum of its proper divisors (161458105472).

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

102757481920 is a wasteful number, since it uses less digits than its factorization.

102757481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 102757481920 in words is "one hundred two billion, seven hundred fifty-seven million, four hundred eighty-one thousand, nine hundred twenty".