102758070800 has 480 divisors, whose sum is σ = 327704382720. Its totient is φ = 29977804800.

The previous prime is 102758070799. The next prime is 102758070827. The reversal of 102758070800 is 8070857201.

It is a super-2 number, since 2×102758070800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119903972 + ... + 119904828.

It is an arithmetic number, because the mean of its divisors is an integer number (682717464).

Almost surely, 2^102758070800 is an apocalyptic number.

102758070800 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 102758070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163852191360).

102758070800 is an abundant number, since it is smaller than the sum of its proper divisors (224946311920).

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

102758070800 is a wasteful number, since it uses less digits than its factorization.

102758070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The spelling of 102758070800 in words is "one hundred two billion, seven hundred fifty-eight million, seventy thousand, eight hundred".