105270464 has 56 divisors (see below), whose sum is σ = 232775760. Its totient is φ = 46900224.

The previous prime is 105270449. The next prime is 105270479. The reversal of 105270464 is 464072501.

It is an interprime number because it is at equal distance from previous prime (105270449) and next prime (105270479).

It is a super-2 number, since 2×105270464² = 22163741181550592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21947 + ... + 26309.

It is an arithmetic number, because the mean of its divisors is an integer number (4156710).

Almost surely, 2^105270464 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 105270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116387880).

105270464 is an abundant number, since it is smaller than the sum of its proper divisors (127505296).

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

105270464 is a wasteful number, since it uses less digits than its factorization.

105270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 105270464 is about 10260.1395702008. The cubic root of 105270464 is about 472.1741194237.

The spelling of 105270464 in words is "one hundred five million, two hundred seventy thousand, four hundred sixty-four".