105946464 has 96 divisors (see below), whose sum is σ = 312609024. Its totient is φ = 31173120.

The previous prime is 105946439. The next prime is 105946469. The reversal of 105946464 is 464649501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105946464² = 22449306468206592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105946469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26859 + ... + 30549.

It is an arithmetic number, because the mean of its divisors is an integer number (3256344).

Almost surely, 2^105946464 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 105946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156304512).

105946464 is an abundant number, since it is smaller than the sum of its proper divisors (206662560).

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

105946464 is a wasteful number, since it uses less digits than its factorization.

105946464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 105946464 is about 10293.0298746288. The cubic root of 105946464 is about 473.1826609409.

The spelling of 105946464 in words is "one hundred five million, nine hundred forty-six thousand, four hundred sixty-four".