105411456 has 96 divisors (see below), whose sum is σ = 314659800. Its totient is φ = 35126784.

The previous prime is 105411443. The next prime is 105411457. The reversal of 105411456 is 654114501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105411456² = 22223150112079872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105411457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29410 + ... + 32798.

Almost surely, 2^105411456 is an apocalyptic number.

105411456 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 105411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157329900).

105411456 is an abundant number, since it is smaller than the sum of its proper divisors (209248344).

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

105411456 is an frugal number, since it uses more digits than its factorization.

105411456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105411456 is about 10267.0081328496. The cubic root of 105411456 is about 472.3848245351.

Adding to 105411456 its reverse (654114501), we get a palindrome (759525957).

The spelling of 105411456 in words is "one hundred five million, four hundred eleven thousand, four hundred fifty-six".