106262032 has 60 divisors (see below), whose sum is σ = 218708100. Its totient is φ = 49993216.

The previous prime is 106261993. The next prime is 106262033. The reversal of 106262032 is 230262601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 665856 + 105596176 = 816^2 + 10276^2 .

It is a super-2 number, since 2×106262032² = 22583238889538048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106261994 and 106262012.

It is not an unprimeable number, because it can be changed into a prime (106262033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713094 + ... + 713242.

It is an arithmetic number, because the mean of its divisors is an integer number (3645135).

Almost surely, 2^106262032 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 106262032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109354050).

106262032 is an abundant number, since it is smaller than the sum of its proper divisors (112446068).

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

106262032 is a wasteful number, since it uses less digits than its factorization.

106262032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 106262032 is about 10308.3476852500. The cubic root of 106262032 is about 473.6519963988.

The spelling of 106262032 in words is "one hundred six million, two hundred sixty-two thousand, thirty-two".