101376729 has 24 divisors (see below), whose sum is σ = 155530440. Its totient is φ = 63410688.

The previous prime is 101376713. The next prime is 101376749. The reversal of 101376729 is 927673101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36542025 + 64834704 = 6045^2 + 8052^2 .

It is not a de Polignac number, because 101376729 - 2⁴ = 101376713 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101376693 and 101376702.

It is not an unprimeable number, because it can be changed into a prime (101376749) 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, 59907 + ... + 61575.

It is an arithmetic number, because the mean of its divisors is an integer number (6480435).

Almost surely, 2^101376729 is an apocalyptic number.

It is an amenable number.

101376729 is a deficient number, since it is larger than the sum of its proper divisors (54153711).

101376729 is a wasteful number, since it uses less digits than its factorization.

101376729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 101376729 is about 10068.6011441511. The cubic root of 101376729 is about 466.2792523341.

The spelling of 101376729 in words is "one hundred one million, three hundred seventy-six thousand, seven hundred twenty-nine".