106321464 has 64 divisors (see below), whose sum is σ = 296570400. Its totient is φ = 35292672.

The previous prime is 106321463. The next prime is 106321469. The reversal of 106321464 is 464123601.

106321464 is a `hidden beast` number, since 10 + 632 + 14 + 6 + 4 = 666.

It is a super-2 number, since 2×106321464² = 22608507414206592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106321463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58944 + ... + 60720.

Almost surely, 2^106321464 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 106321464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148285200).

106321464 is an abundant number, since it is smaller than the sum of its proper divisors (190248936).

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

106321464 is a wasteful number, since it uses less digits than its factorization.

106321464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106321464 is about 10311.2299945254. The cubic root of 106321464 is about 473.7402839350.

The spelling of 106321464 in words is "one hundred six million, three hundred twenty-one thousand, four hundred sixty-four".