102256890912 has 270 divisors, whose sum is σ = 331139529567. Its totient is φ = 30932668800.

The previous prime is 102256890889. The next prime is 102256890941. The reversal of 102256890912 is 219098652201.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 51128445456 + 51128445456 = 226116^2 + 226116^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=226116.

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 44 ways as a sum of consecutive naturals, for example, 179083587 + ... + 179084157.

Almost surely, 2^102256890912 is an apocalyptic number.

102256890912 is a gapful number since it is divisible by the number (12) 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 102256890912

102256890912 is an abundant number, since it is smaller than the sum of its proper divisors (228882638655).

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

102256890912 is an frugal number, since it uses more digits than its factorization.

102256890912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 102256890912 in words is "one hundred two billion, two hundred fifty-six million, eight hundred ninety thousand, nine hundred twelve".