101075706 has 48 divisors (see below), whose sum is σ = 231379200. Its totient is φ = 31800384.

The previous prime is 101075699. The next prime is 101075707. The reversal of 101075706 is 607570101.

It is a self number, because there is not a number n which added to its sum of digits gives 101075706.

It is not an unprimeable number, because it can be changed into a prime (101075707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163510 + ... + 164126.

It is an arithmetic number, because the mean of its divisors is an integer number (4820400).

Almost surely, 2^101075706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101075706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115689600).

101075706 is an abundant number, since it is smaller than the sum of its proper divisors (130303494).

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

101075706 is a wasteful number, since it uses less digits than its factorization.

101075706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 101075706 is about 10053.6414298502. The cubic root of 101075706 is about 465.8172793311.

The spelling of 101075706 in words is "one hundred one million, seventy-five thousand, seven hundred six".