105223957200 has 720 divisors, whose sum is σ = 399750414336. Its totient is φ = 26541043200.

The previous prime is 105223957127. The next prime is 105223957217. The reversal of 105223957200 is 2759322501.

105223957200 is a `hidden beast` number, since 1 + 0 + 52 + 2 + 39 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105223957200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141620029 + ... + 141620771.

Almost surely, 2^105223957200 is an apocalyptic number.

105223957200 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 105223957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199875207168).

105223957200 is an abundant number, since it is smaller than the sum of its proper divisors (294526457136).

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

105223957200 is a wasteful number, since it uses less digits than its factorization.

105223957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 105223957200 in words is "one hundred five billion, two hundred twenty-three million, nine hundred fifty-seven thousand, two hundred".