105120456 has 64 divisors (see below), whose sum is σ = 302090880. Its totient is φ = 29859840.

The previous prime is 105120427. The next prime is 105120467. The reversal of 105120456 is 654021501.

It is a super-2 number, since 2×105120456² = 22100620539295872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28680 + ... + 32136.

It is an arithmetic number, because the mean of its divisors is an integer number (4720170).

Almost surely, 2^105120456 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 105120456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151045440).

105120456 is an abundant number, since it is smaller than the sum of its proper divisors (196970424).

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

105120456 is a wasteful number, since it uses less digits than its factorization.

105120456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105120456 is about 10252.8267321749. The cubic root of 105120456 is about 471.9497337067.

Adding to 105120456 its reverse (654021501), we get a palindrome (759141957).

The spelling of 105120456 in words is "one hundred five million, one hundred twenty thousand, four hundred fifty-six".