105451424 has 48 divisors (see below), whose sum is σ = 231313320. Its totient is φ = 46986240.

The previous prime is 105451421. The next prime is 105451433. The reversal of 105451424 is 424154501.

It can be written as a sum of positive squares in 4 ways, for example, as 56731024 + 48720400 = 7532^2 + 6980^2 .

It is a super-2 number, since 2×105451424² = 22240005647255552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 105451393 and 105451402.

It is not an unprimeable number, because it can be changed into a prime (105451421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7694 + ... + 16434.

Almost surely, 2^105451424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105451424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115656660).

105451424 is an abundant number, since it is smaller than the sum of its proper divisors (125861896).

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

105451424 is a wasteful number, since it uses less digits than its factorization.

105451424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8793 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 105451424 is about 10268.9543771506. The cubic root of 105451424 is about 472.4445204216. Note that the first 3 decimals are identical.

The spelling of 105451424 in words is "one hundred five million, four hundred fifty-one thousand, four hundred twenty-four".