105398906624 has 108 divisors (see below), whose sum is σ = 239227041480. Its totient is φ = 46256179200.

The previous prime is 105398906623. The next prime is 105398906629. The reversal of 105398906624 is 426609893501.

105398906624 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 2×105398906624² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105398906623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 839639 + ... + 956969.

Almost surely, 2^105398906624 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 105398906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119613520740).

105398906624 is an abundant number, since it is smaller than the sum of its proper divisors (133828134856).

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

105398906624 is a wasteful number, since it uses less digits than its factorization.

105398906624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117398 (or 117373 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 105398906624 in words is "one hundred five billion, three hundred ninety-eight million, nine hundred six thousand, six hundred twenty-four".