105608464 has 40 divisors (see below), whose sum is σ = 223180160. Its totient is φ = 48117888.

The previous prime is 105608449. The next prime is 105608467. The reversal of 105608464 is 464806501.

It is a super-2 number, since 2×105608464² = 22306295336878592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105608467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13219 + ... + 19645.

It is an arithmetic number, because the mean of its divisors is an integer number (5579504).

Almost surely, 2^105608464 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 105608464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111590080).

105608464 is an abundant number, since it is smaller than the sum of its proper divisors (117571696).

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

105608464 is a wasteful number, since it uses less digits than its factorization.

105608464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6527 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 105608464 is about 10276.5978806218. The cubic root of 105608464 is about 472.6789281563.

The spelling of 105608464 in words is "one hundred five million, six hundred eight thousand, four hundred sixty-four".