102949909283520 has 1344 divisors, whose sum is σ = 405121481856000. Its totient is φ = 23786892656640.

The previous prime is 102949909283491. The next prime is 102949909283579. The reversal of 102949909283520 is 25382909949201.

102949909283520 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 499 + 0 + 92 + 8 + 3 + 52 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53314296955 + ... + 53314298885.

It is an arithmetic number, because the mean of its divisors is an integer number (301429674000).

Almost surely, 2^{102949909283520} is an apocalyptic number.

102949909283520 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 102949909283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202560740928000).

102949909283520 is an abundant number, since it is smaller than the sum of its proper divisors (302171572572480).

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

102949909283520 is a wasteful number, since it uses less digits than its factorization.

102949909283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 102949909283520 in words is "one hundred two trillion, nine hundred forty-nine billion, nine hundred nine million, two hundred eighty-three thousand, five hundred twenty".