105015304400 has 120 divisors (see below), whose sum is σ = 263493653184. Its totient is φ = 40145459200.

The previous prime is 105015304369. The next prime is 105015304403. The reversal of 105015304400 is 4403510501.

It is a super-2 number, since 2×105015304400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105015304403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12517007 + ... + 12525393.

Almost surely, 2^105015304400 is an apocalyptic number.

105015304400 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 105015304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131746826592).

105015304400 is an abundant number, since it is smaller than the sum of its proper divisors (158478348784).

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

105015304400 is a wasteful number, since it uses less digits than its factorization.

105015304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9789 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 105015304400 its reverse (4403510501), we get a palindrome (109418814901).

The spelling of 105015304400 in words is "one hundred five billion, fifteen million, three hundred four thousand, four hundred".