105898601000 has 128 divisors (see below), whose sum is σ = 261142652160. Its totient is φ = 40115680000.

The previous prime is 105898600943. The next prime is 105898601033. The reversal of 105898601000 is 106898501.

It is a super-2 number, since 2×105898601000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2300207 + ... + 2345793.

It is an arithmetic number, because the mean of its divisors is an integer number (2040176970).

Almost surely, 2^105898601000 is an apocalyptic number.

105898601000 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 105898601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130571326080).

105898601000 is an abundant number, since it is smaller than the sum of its proper divisors (155244051160).

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

105898601000 is a wasteful number, since it uses less digits than its factorization.

105898601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45732 (or 45718 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The spelling of 105898601000 in words is "one hundred five billion, eight hundred ninety-eight million, six hundred one thousand".