105415321200 has 360 divisors, whose sum is σ = 407312823168. Its totient is φ = 22826119680.

The previous prime is 105415321177. The next prime is 105415321217. The reversal of 105415321200 is 2123514501.

It is a happy number.

It is a super-2 number, since 2×105415321200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3015019 + ... + 3049781.

Almost surely, 2^105415321200 is an apocalyptic number.

105415321200 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 105415321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203656411584).

105415321200 is an abundant number, since it is smaller than the sum of its proper divisors (301897501968).

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

105415321200 is a wasteful number, since it uses less digits than its factorization.

105415321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34829 (or 34799 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 105415321200 its reverse (2123514501), we get a palindrome (107538835701).

The spelling of 105415321200 in words is "one hundred five billion, four hundred fifteen million, three hundred twenty-one thousand, two hundred".