102750249456 has 120 divisors (see below), whose sum is σ = 302435392896. Its totient is φ = 32519784960.

The previous prime is 102750249439. The next prime is 102750249461. The reversal of 102750249456 is 654942057201.

102750249456 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 502 + 4 + 94 + 56 = 666.

It is a super-2 number, since 2×102750249456² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 19446 + ... + 453738.

Almost surely, 2^102750249456 is an apocalyptic number.

102750249456 is a gapful number since it is divisible by the number (16) 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 102750249456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151217696448).

102750249456 is an abundant number, since it is smaller than the sum of its proper divisors (199685143440).

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

102750249456 is a wasteful number, since it uses less digits than its factorization.

102750249456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434391 (or 434382 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 102750249456 in words is "one hundred two billion, seven hundred fifty million, two hundred forty-nine thousand, four hundred fifty-six".