10701306 has 72 divisors (see below), whose sum is σ = 29450304. Its totient is φ = 2777040.

The previous prime is 10701269. The next prime is 10701337. The reversal of 10701306 is 60310701.

It is a super-2 number, since 2×10701306² = 229035900211272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9151 + ... + 10253.

It is an arithmetic number, because the mean of its divisors is an integer number (409032).

Almost surely, 2^10701306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10701306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725152).

10701306 is an abundant number, since it is smaller than the sum of its proper divisors (18748998).

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

10701306 is a wasteful number, since it uses less digits than its factorization.

10701306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10701306 is about 3271.2850685931. The cubic root of 10701306 is about 220.3665102831.

The spelling of 10701306 in words is "ten million, seven hundred one thousand, three hundred six".