101068929 has 18 divisors (see below), whose sum is σ = 158084550. Its totient is φ = 62195328.

The previous prime is 101068879. The next prime is 101068937. The reversal of 101068929 is 929860101.

It can be written as a sum of positive squares in 3 ways, for example, as 9828225 + 91240704 = 3135^2 + 9552^2 .

It is not a de Polignac number, because 101068929 - 2⁷ = 101068801 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 101068893 and 101068902.

It is not an unprimeable number, because it can be changed into a prime (101068939) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31704 + ... + 34745.

It is an arithmetic number, because the mean of its divisors is an integer number (8782475).

Almost surely, 2^101068929 is an apocalyptic number.

It is an amenable number.

101068929 is a deficient number, since it is larger than the sum of its proper divisors (57015621).

101068929 is a wasteful number, since it uses less digits than its factorization.

101068929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66481 (or 66465 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 101068929 is about 10053.3043821422. The cubic root of 101068929 is about 465.8068682759.

The spelling of 101068929 in words is "one hundred one million, sixty-eight thousand, nine hundred twenty-nine".