105250464 has 72 divisors (see below), whose sum is σ = 326525472. Its totient is φ = 31893120.

The previous prime is 105250463. The next prime is 105250477. The reversal of 105250464 is 464052501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105250464² = 22155320344430592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105250463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13444 + ... + 19779.

It is an arithmetic number, because the mean of its divisors is an integer number (4535076).

Almost surely, 2^105250464 is an apocalyptic number.

It is an amenable number.

105250464 is an abundant number, since it is smaller than the sum of its proper divisors (221275008).

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

105250464 is a wasteful number, since it uses less digits than its factorization.

105250464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33250 (or 33239 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105250464 is about 10259.1648782930. The cubic root of 105250464 is about 472.1442152443.

The spelling of 105250464 in words is "one hundred five million, two hundred fifty thousand, four hundred sixty-four".