106464 has 24 divisors (see below), whose sum is σ = 279720. Its totient is φ = 35456.

The previous prime is 106453. The next prime is 106487. The reversal of 106464 is 464601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106464² = 22669166592, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106464.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106464.

It is an unprimeable number.

106464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (11655).

2¹⁰⁶⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

106464 is an abundant number, since it is smaller than the sum of its proper divisors (173256).

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

106464 is a wasteful number, since it uses less digits than its factorization.

106464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106464 is about 326.2882161525. The cubic root of 106464 is about 47.3951890291.

It can be divided in two parts, 1064 and 64, that added together give a triangular number (1128 = T₄₇).

The spelling of 106464 in words is "one hundred six thousand, four hundred sixty-four".