105047460 has 144 divisors (see below), whose sum is σ = 366702336. Its totient is φ = 23844096.

The previous prime is 105047419. The next prime is 105047473. The reversal of 105047460 is 64740501.

It is a super-2 number, since 2×105047460² = 22069937704903200, which contains 22 as substring.

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, 331222 + ... + 331538.

It is an arithmetic number, because the mean of its divisors is an integer number (2546544).

Almost surely, 2^105047460 is an apocalyptic number.

105047460 is a gapful number since it is divisible by the number (10) 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 105047460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183351168).

105047460 is an abundant number, since it is smaller than the sum of its proper divisors (261654876).

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

105047460 is a wasteful number, since it uses less digits than its factorization.

105047460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105047460 is about 10249.2663152052. The cubic root of 105047460 is about 471.8404672476.

Adding to 105047460 its reverse (64740501), we get a palindrome (169787961).

The spelling of 105047460 in words is "one hundred five million, forty-seven thousand, four hundred sixty".