102150755700 has 216 divisors, whose sum is σ = 347677747200. Its totient is φ = 23086103040.

The previous prime is 102150755689. The next prime is 102150755731. The reversal of 102150755700 is 7557051201.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1269261 + ... + 1347339.

It is an arithmetic number, because the mean of its divisors is an integer number (1609619200).

Almost surely, 2^102150755700 is an apocalyptic number.

102150755700 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 102150755700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173838873600).

102150755700 is an abundant number, since it is smaller than the sum of its proper divisors (245526991500).

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

102150755700 is a wasteful number, since it uses less digits than its factorization.

102150755700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78199 (or 78185 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 33.

The spelling of 102150755700 in words is "one hundred two billion, one hundred fifty million, seven hundred fifty-five thousand, seven hundred".