102757437120 has 448 divisors, whose sum is σ = 361168980480. Its totient is φ = 24593006592.

The previous prime is 102757437119. The next prime is 102757437131. The reversal of 102757437120 is 21734757201.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 224851932 + ... + 224852388.

It is an arithmetic number, because the mean of its divisors is an integer number (806180760).

Almost surely, 2^102757437120 is an apocalyptic number.

102757437120 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 102757437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180584490240).

102757437120 is an abundant number, since it is smaller than the sum of its proper divisors (258411543360).

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

102757437120 is a wasteful number, since it uses less digits than its factorization.

102757437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 102757437120 in words is "one hundred two billion, seven hundred fifty-seven million, four hundred thirty-seven thousand, one hundred twenty".