105708985200 has 2880 divisors, whose sum is σ = 535955696640. Its totient is φ = 19349176320.

The previous prime is 105708985177. The next prime is 105708985201. The reversal of 105708985200 is 2589807501.

It is a happy number.

It is a super-2 number, since 2×105708985200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105708985201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2856999582 + ... + 2856999618.

It is an arithmetic number, because the mean of its divisors is an integer number (186095728).

Almost surely, 2^105708985200 is an apocalyptic number.

105708985200 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 105708985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267977848320).

105708985200 is an abundant number, since it is smaller than the sum of its proper divisors (430246711440).

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

105708985200 is a wasteful number, since it uses less digits than its factorization.

105708985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 105708985200 in words is "one hundred five billion, seven hundred eight million, nine hundred eighty-five thousand, two hundred".