102014829 has 16 divisors (see below), whose sum is σ = 172723840. Its totient is φ = 58294080.

The previous prime is 102014827. The next prime is 102014851. The reversal of 102014829 is 928410201.

It is not a de Polignac number, because 102014829 - 2¹ = 102014827 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102014827) 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, 269692 + ... + 270069.

It is an arithmetic number, because the mean of its divisors is an integer number (10795240).

Almost surely, 2^102014829 is an apocalyptic number.

It is an amenable number.

102014829 is a deficient number, since it is larger than the sum of its proper divisors (70709011).

102014829 is an equidigital number, since it uses as much as digits as its factorization.

102014829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539777 (or 539771 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102014829 is about 10100.2390565768. The cubic root of 102014829 is about 467.2555142098.

The spelling of 102014829 in words is "one hundred two million, fourteen thousand, eight hundred twenty-nine".