105422460 has 144 divisors (see below), whose sum is σ = 349728288. Its totient is φ = 23569920.

The previous prime is 105422437. The next prime is 105422477. The reversal of 105422460 is 64224501.

105422460 is a nontrivial binomial coefficient, being equal to C(14521, 2).

It is a super-2 number, since 2×105422460² = 22227790144903200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105422460.

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, 93822 + ... + 94938.

Almost surely, 2^105422460 is an apocalyptic number.

105422460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105422460 is the 14520-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105422460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174864144).

105422460 is an abundant number, since it is smaller than the sum of its proper divisors (244305828).

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

105422460 is a wasteful number, since it uses less digits than its factorization.

105422460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105422460 is about 10267.5440101321. The cubic root of 105422460 is about 472.4012615270.

Adding to 105422460 its reverse (64224501), we get a palindrome (169646961).

The spelling of 105422460 in words is "one hundred five million, four hundred twenty-two thousand, four hundred sixty".