101072829 has 16 divisors (see below), whose sum is σ = 158324544. Its totient is φ = 56544000.

The previous prime is 101072819. The next prime is 101072891. The reversal of 101072829 is 928270101.

It is not a de Polignac number, because 101072829 - 2⁴ = 101072813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101072796 and 101072805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101072819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117372 + ... + 118229.

It is an arithmetic number, because the mean of its divisors is an integer number (9895284).

Almost surely, 2^101072829 is an apocalyptic number.

It is an amenable number.

101072829 is a deficient number, since it is larger than the sum of its proper divisors (57251715).

101072829 is a wasteful number, since it uses less digits than its factorization.

101072829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235628.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 101072829 is about 10053.4983463469. The cubic root of 101072829 is about 465.8128596439.

The spelling of 101072829 in words is "one hundred one million, seventy-two thousand, eight hundred twenty-nine".