105082464 has 96 divisors (see below), whose sum is σ = 296110080. Its totient is φ = 32527872.

The previous prime is 105082463. The next prime is 105082477. The reversal of 105082464 is 464280501.

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

It is a super-2 number, since 2×105082464² = 22084648480622592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105082463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96129 + ... + 97215.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^105082464 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 105082464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

105082464 is an abundant number, since it is smaller than the sum of its proper divisors (191027616).

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

105082464 is a wasteful number, since it uses less digits than its factorization.

105082464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105082464 is about 10250.9738074000. The cubic root of 105082464 is about 471.8928704488.

The spelling of 105082464 in words is "one hundred five million, eighty-two thousand, four hundred sixty-four".