106071264 has 144 divisors (see below), whose sum is σ = 333247824. Its totient is φ = 31795200.

The previous prime is 106071257. The next prime is 106071269. The reversal of 106071264 is 462170601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106071264² = 22502226093115392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106071269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153159 + ... + 153849.

It is an arithmetic number, because the mean of its divisors is an integer number (2314221).

Almost surely, 2^106071264 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 106071264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166623912).

106071264 is an abundant number, since it is smaller than the sum of its proper divisors (227176560).

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

106071264 is a wasteful number, since it uses less digits than its factorization.

106071264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106071264 is about 10299.0904452772. The cubic root of 106071264 is about 473.3683837475.

The spelling of 106071264 in words is "one hundred six million, seventy-one thousand, two hundred sixty-four".