105331304400 has 240 divisors, whose sum is σ = 387044179968. Its totient is φ = 23986368000.

The previous prime is 105331304329. The next prime is 105331304423. The reversal of 105331304400 is 4403133501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105331304400² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2253265 + ... + 2299535.

Almost surely, 2^105331304400 is an apocalyptic number.

105331304400 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 105331304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193522089984).

105331304400 is an abundant number, since it is smaller than the sum of its proper divisors (281712875568).

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

105331304400 is a wasteful number, since it uses less digits than its factorization.

105331304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46570 (or 46559 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 105331304400 its reverse (4403133501), we get a palindrome (109734437901).

The spelling of 105331304400 in words is "one hundred five billion, three hundred thirty-one million, three hundred four thousand, four hundred".