105502464 has 108 divisors (see below), whose sum is σ = 314878200. Its totient is φ = 33933312.

The previous prime is 105502457. The next prime is 105502477. The reversal of 105502464 is 464205501.

It is a super-2 number, since 2×105502464² = 22261539820142592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66027 + ... + 67605.

Almost surely, 2^105502464 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 105502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157439100).

105502464 is an abundant number, since it is smaller than the sum of its proper divisors (209375736).

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

105502464 is a wasteful number, since it uses less digits than its factorization.

105502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1613 counting only the distinct ones).

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

The square root of 105502464 is about 10271.4392370300. The cubic root of 105502464 is about 472.5207314327.

Adding to 105502464 its reverse (464205501), we get a palindrome (569707965).

The spelling of 105502464 in words is "one hundred five million, five hundred two thousand, four hundred sixty-four".