102946959360 has 624 divisors, whose sum is σ = 413781011904. Its totient is φ = 23187161088.

The previous prime is 102946959359. The next prime is 102946959403. The reversal of 102946959360 is 63959649201.

102946959360 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 46 + 9 + 593 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102946959297 and 102946959306.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 94186974 + ... + 94188066.

It is an arithmetic number, because the mean of its divisors is an integer number (663110596).

Almost surely, 2^102946959360 is an apocalyptic number.

102946959360 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 102946959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206890505952).

102946959360 is an abundant number, since it is smaller than the sum of its proper divisors (310834052544).

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

102946959360 is a wasteful number, since it uses less digits than its factorization.

102946959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 102946959360 in words is "one hundred two billion, nine hundred forty-six million, nine hundred fifty-nine thousand, three hundred sixty".