102959744580 has 864 divisors, whose sum is σ = 412167345408. Its totient is φ = 20373534720.

The previous prime is 102959744567. The next prime is 102959744581. The reversal of 102959744580 is 85447959201.

It is a happy number.

102959744580 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 59 + 7 + 4 + 4 + 580 = 666.

It is not an unprimeable number, because it can be changed into a prime (102959744581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1410407424 + ... + 1410407496.

Almost surely, 2^102959744580 is an apocalyptic number.

102959744580 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 102959744580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206083672704).

102959744580 is an abundant number, since it is smaller than the sum of its proper divisors (309207600828).

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

102959744580 is a wasteful number, since it uses less digits than its factorization.

102959744580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 102959744580 in words is "one hundred two billion, nine hundred fifty-nine million, seven hundred forty-four thousand, five hundred eighty".