102244756140 has 960 divisors, whose sum is σ = 377683181568. Its totient is φ = 22992076800.

The previous prime is 102244756129. The next prime is 102244756217. The reversal of 102244756140 is 41657442201.

102244756140 is a `hidden beast` number, since 1 + 0 + 22 + 447 + 56 + 140 = 666.

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 = 102244756095 and 102244756104.

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 319 ways as a sum of consecutive naturals, for example, 805076757 + ... + 805076883.

Almost surely, 2^102244756140 is an apocalyptic number.

102244756140 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 102244756140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188841590784).

102244756140 is an abundant number, since it is smaller than the sum of its proper divisors (275438425428).

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

102244756140 is a wasteful number, since it uses less digits than its factorization.

102244756140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 102244756140 in words is "one hundred two billion, two hundred forty-four million, seven hundred fifty-six thousand, one hundred forty".