105118464 has 144 divisors (see below), whose sum is σ = 319060224. Its totient is φ = 30412800.

The previous prime is 105118459. The next prime is 105118483. The reversal of 105118464 is 464811501.

It is a super-2 number, since 2×105118464² = 22099782947438592, which contains 22 as substring.

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, 194034 + ... + 194574.

It is an arithmetic number, because the mean of its divisors is an integer number (2215696).

Almost surely, 2^105118464 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 105118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159530112).

105118464 is an abundant number, since it is smaller than the sum of its proper divisors (213941760).

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

105118464 is a wasteful number, since it uses less digits than its factorization.

105118464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 105118464 is about 10252.7295877732. The cubic root of 105118464 is about 471.9467525875.

Adding to 105118464 its reverse (464811501), we get a palindrome (569929965).

The spelling of 105118464 in words is "one hundred five million, one hundred eighteen thousand, four hundred sixty-four".