106384464 has 30 divisors (see below), whose sum is σ = 297729146. Its totient is φ = 35461440.

The previous prime is 106384423. The next prime is 106384507. The reversal of 106384464 is 464483601.

106384464 is a `hidden beast` number, since 10 + 638 + 4 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106254864 + 129600 = 10308^2 + 360^2 .

It is a super-2 number, since 2×106384464² = 22635308361134592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369247 + ... + 369534.

Almost surely, 2^106384464 is an apocalyptic number.

It is an amenable number.

106384464 is an abundant number, since it is smaller than the sum of its proper divisors (191344682).

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

106384464 is a wasteful number, since it uses less digits than its factorization.

106384464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738795 (or 738786 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 106384464 is about 10314.2844637910. The cubic root of 106384464 is about 473.8338358977.

The spelling of 106384464 in words is "one hundred six million, three hundred eighty-four thousand, four hundred sixty-four".