105511456 has 48 divisors (see below), whose sum is σ = 212986368. Its totient is φ = 51436800.

The previous prime is 105511451. The next prime is 105511501. The reversal of 105511456 is 654115501.

It is a happy number.

It is a super-2 number, since 2×105511456² = 22265334694479872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105511451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372691 + ... + 372973.

It is an arithmetic number, because the mean of its divisors is an integer number (4437216).

Almost surely, 2^105511456 is an apocalyptic number.

105511456 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 105511456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106493184).

105511456 is an abundant number, since it is smaller than the sum of its proper divisors (107474912).

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

105511456 is a wasteful number, since it uses less digits than its factorization.

105511456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 105511456 is about 10271.8769463034. The cubic root of 105511456 is about 472.5341554026.

Adding to 105511456 its reverse (654115501), we get a palindrome (759626957).

The spelling of 105511456 in words is "one hundred five million, five hundred eleven thousand, four hundred fifty-six".