105898336460 has 144 divisors (see below), whose sum is σ = 265922800416. Its totient is φ = 35305740288.

The previous prime is 105898336459. The next prime is 105898336469. The reversal of 105898336460 is 64633898501.

It is a super-2 number, since 2×105898336460² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (105898336469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5860199 + ... + 5878241.

It is an arithmetic number, because the mean of its divisors is an integer number (1846686114).

Almost surely, 2^105898336460 is an apocalyptic number.

105898336460 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 105898336460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132961400208).

105898336460 is an abundant number, since it is smaller than the sum of its proper divisors (160024463956).

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

105898336460 is a wasteful number, since it uses less digits than its factorization.

105898336460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18232 (or 18223 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 105898336460 in words is "one hundred five billion, eight hundred ninety-eight million, three hundred thirty-six thousand, four hundred sixty".