105453224400 has 120 divisors (see below), whose sum is σ = 352488957120. Its totient is φ = 26898206720.

The previous prime is 105453224347. The next prime is 105453224413. The reversal of 105453224400 is 4422354501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105453224400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1882785 + ... + 1937984.

It is an arithmetic number, because the mean of its divisors is an integer number (2937407976).

Almost surely, 2^105453224400 is an apocalyptic number.

105453224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105453224400 is an abundant number, since it is smaller than the sum of its proper divisors (247035732720).

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

105453224400 is a wasteful number, since it uses less digits than its factorization.

105453224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820813 (or 3820802 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 105453224400 its reverse (4422354501), we get a palindrome (109875578901).

The spelling of 105453224400 in words is "one hundred five billion, four hundred fifty-three million, two hundred twenty-four thousand, four hundred".