105046930144 has 96 divisors (see below), whose sum is σ = 230561856000. Its totient is φ = 46778425344.

The previous prime is 105046930129. The next prime is 105046930169. The reversal of 105046930144 is 441039640501.

105046930144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105046930144² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 27009352 + ... + 27013240.

It is an arithmetic number, because the mean of its divisors is an integer number (2401686000).

Almost surely, 2^105046930144 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 105046930144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115280928000).

105046930144 is an abundant number, since it is smaller than the sum of its proper divisors (125514925856).

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

105046930144 is a wasteful number, since it uses less digits than its factorization.

105046930144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 105046930144 in words is "one hundred five billion, forty-six million, nine hundred thirty thousand, one hundred forty-four".