105095650400 has 144 divisors (see below), whose sum is σ = 281515200624. Its totient is φ = 38072186880.

The previous prime is 105095650391. The next prime is 105095650421. The reversal of 105095650400 is 4056590501.

It is a super-2 number, since 2×105095650400² (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 23 ways as a sum of consecutive naturals, for example, 455867 + ... + 646533.

It is an arithmetic number, because the mean of its divisors is an integer number (1954966671).

Almost surely, 2^105095650400 is an apocalyptic number.

105095650400 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 105095650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140757600312).

105095650400 is an abundant number, since it is smaller than the sum of its proper divisors (176419550224).

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

105095650400 is a wasteful number, since it uses less digits than its factorization.

105095650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190753 (or 190740 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 105095650400 in words is "one hundred five billion, ninety-five million, six hundred fifty thousand, four hundred".