102758380200 has 864 divisors, whose sum is σ = 447548587200. Its totient is φ = 20936724480.

The previous prime is 102758380163. The next prime is 102758380223. The reversal of 102758380200 is 2083857201.

102758380200 is a `hidden beast` number, since 1 + 0 + 2 + 75 + 8 + 380 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28486797 + ... + 28490403.

It is an arithmetic number, because the mean of its divisors is an integer number (517996050).

Almost surely, 2^102758380200 is an apocalyptic number.

102758380200 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 102758380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223774293600).

102758380200 is an abundant number, since it is smaller than the sum of its proper divisors (344790207000).

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

102758380200 is a wasteful number, since it uses less digits than its factorization.

102758380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 102758380200 in words is "one hundred two billion, seven hundred fifty-eight million, three hundred eighty thousand, two hundred".