106284864 has 112 divisors (see below), whose sum is σ = 331882496. Its totient is φ = 29376000.

The previous prime is 106284853. The next prime is 106284869. The reversal of 106284864 is 468482601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106284864² = 22592944630996992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106284869) 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, 40389 + ... + 42939.

Almost surely, 2^106284864 is an apocalyptic number.

106284864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165941248).

106284864 is an abundant number, since it is smaller than the sum of its proper divisors (225597632).

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

106284864 is a wasteful number, since it uses less digits than its factorization.

106284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 106284864 is about 10309.4550777430. The cubic root of 106284864 is about 473.6859177274.

The spelling of 106284864 in words is "one hundred six million, two hundred eighty-four thousand, eight hundred sixty-four".