105070846200 has 384 divisors, whose sum is σ = 344115475200. Its totient is φ = 26491207680.

The previous prime is 105070846189. The next prime is 105070846271. The reversal of 105070846200 is 2648070501.

It is a super-2 number, since 2×105070846200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127050187 + ... + 127051013.

It is an arithmetic number, because the mean of its divisors is an integer number (896134050).

Almost surely, 2^105070846200 is an apocalyptic number.

105070846200 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 105070846200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172057737600).

105070846200 is an abundant number, since it is smaller than the sum of its proper divisors (239044629000).

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

105070846200 is a wasteful number, since it uses less digits than its factorization.

105070846200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 105070846200 in words is "one hundred five billion, seventy million, eight hundred forty-six thousand, two hundred".