102995419104 has 240 divisors, whose sum is σ = 315848332800. Its totient is φ = 32883895296.

The previous prime is 102995419103. The next prime is 102995419141. The reversal of 102995419104 is 401914599201.

102995419104 is a `hidden beast` number, since 1 + 0 + 2 + 99 + 541 + 9 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102995419104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102995419103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9540942 + ... + 9551730.

It is an arithmetic number, because the mean of its divisors is an integer number (1316034720).

Almost surely, 2^102995419104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102995419104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157924166400).

102995419104 is an abundant number, since it is smaller than the sum of its proper divisors (212852913696).

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

102995419104 is a wasteful number, since it uses less digits than its factorization.

102995419104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10967 (or 10950 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 102995419104 in words is "one hundred two billion, nine hundred ninety-five million, four hundred nineteen thousand, one hundred four".