10106757 has 12 divisors (see below), whose sum is σ = 14627340. Its totient is φ = 6724608.

The previous prime is 10106741. The next prime is 10106773. The reversal of 10106757 is 75760101.

10106757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10106741) and next prime (10106773).

It can be written as a sum of positive squares in 2 ways, for example, as 1846881 + 8259876 = 1359^2 + 2874^2 .

It is not a de Polignac number, because 10106757 - 2⁴ = 10106741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10106757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106717) 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, 6469 + ... + 7877.

It is an arithmetic number, because the mean of its divisors is an integer number (1218945).

Almost surely, 2^10106757 is an apocalyptic number.

It is an amenable number.

10106757 is a deficient number, since it is larger than the sum of its proper divisors (4520583).

10106757 is a wasteful number, since it uses less digits than its factorization.

10106757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2209 counting only the distinct ones).

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

The square root of 10106757 is about 3179.1126120350. The cubic root of 10106757 is about 216.2074267712.

Adding to 10106757 its reverse (75760101), we get a palindrome (85866858).

It can be divided in two parts, 101067 and 57, that added together give a square (101124 = 318²).

The spelling of 10106757 in words is "ten million, one hundred six thousand, seven hundred fifty-seven".