106071024 has 80 divisors (see below), whose sum is σ = 296980992. Its totient is φ = 32492544.

The previous prime is 106071023. The next prime is 106071047. The reversal of 106071024 is 420170601.

It is a super-2 number, since 2×106071024² = 22502124264817152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106071023) 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, 33577 + ... + 36599.

Almost surely, 2^106071024 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 106071024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

106071024 is an abundant number, since it is smaller than the sum of its proper divisors (190909968).

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

106071024 is a wasteful number, since it uses less digits than its factorization.

106071024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 106071024 is about 10299.0787937563. The cubic root of 106071024 is about 473.3680267281.

The spelling of 106071024 in words is "one hundred six million, seventy-one thousand, twenty-four".