105573456 has 150 divisors (see below), whose sum is σ = 322173390. Its totient is φ = 33336576.

The previous prime is 105573439. The next prime is 105573487. The reversal of 105573456 is 654375501.

It can be written as a sum of positive squares in 3 ways, for example, as 37015056 + 68558400 = 6084^2 + 8280^2 .

It is a super-2 number, since 2×105573456² = 22291509223567872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105573456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1991926 + ... + 1991978.

Almost surely, 2^105573456 is an apocalyptic number.

105573456 is a gapful number since it is divisible by the number (16) 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 105573456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161086695).

105573456 is an abundant number, since it is smaller than the sum of its proper divisors (216599934).

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

105573456 is an equidigital number, since it uses as much as digits as its factorization.

105573456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 105573456 is about 10274.8944520126. The cubic root of 105573456 is about 472.6266931616.

The spelling of 105573456 in words is "one hundred five million, five hundred seventy-three thousand, four hundred fifty-six".