102255802007040 has 1920 divisors, whose sum is σ = 415030936320000. Its totient is φ = 23004631203840.

The previous prime is 102255802007003. The next prime is 102255802007057. The reversal of 102255802007040 is 40700208552201.

It is a happy number.

102255802007040 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 580 + 2 + 0 + 0 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 102255802006986 and 102255802007004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119040514131 + ... + 119040514989.

It is an arithmetic number, because the mean of its divisors is an integer number (216161946000).

Almost surely, 2^{102255802007040} is an apocalyptic number.

102255802007040 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 102255802007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207515468160000).

102255802007040 is an abundant number, since it is smaller than the sum of its proper divisors (312775134312960).

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

102255802007040 is a wasteful number, since it uses less digits than its factorization.

102255802007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 102255802007040 in words is "one hundred two trillion, two hundred fifty-five billion, eight hundred two million, seven thousand, forty".