105045522400 has 288 divisors, whose sum is σ = 320082513408. Its totient is φ = 32775321600.

The previous prime is 105045522353. The next prime is 105045522487. The reversal of 105045522400 is 4225540501.

It is a super-2 number, since 2×105045522400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 5158639 + ... + 5178961.

It is an arithmetic number, because the mean of its divisors is an integer number (1111397616).

Almost surely, 2^105045522400 is an apocalyptic number.

105045522400 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 105045522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160041256704).

105045522400 is an abundant number, since it is smaller than the sum of its proper divisors (215036991008).

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

105045522400 is a wasteful number, since it uses less digits than its factorization.

105045522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20434 (or 20421 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The spelling of 105045522400 in words is "one hundred five billion, forty-five million, five hundred twenty-two thousand, four hundred".