105578464 has 48 divisors (see below), whose sum is σ = 222814368. Its totient is φ = 49116672.

The previous prime is 105578461. The next prime is 105578479. The reversal of 105578464 is 464875501.

It is a super-2 number, since 2×105578464² = 22293624121198592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105578461) 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, 25294 + ... + 29170.

It is an arithmetic number, because the mean of its divisors is an integer number (4641966).

Almost surely, 2^105578464 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 105578464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111407184).

105578464 is an abundant number, since it is smaller than the sum of its proper divisors (117235904).

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

105578464 is a wasteful number, since it uses less digits than its factorization.

105578464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 105578464 is about 10275.1381499229. The cubic root of 105578464 is about 472.6341662428.

The spelling of 105578464 in words is "one hundred five million, five hundred seventy-eight thousand, four hundred sixty-four".