103821129 has 16 divisors (see below), whose sum is σ = 154287040. Its totient is φ = 68999040.

The previous prime is 103821121. The next prime is 103821169. The reversal of 103821129 is 921128301.

It is not a de Polignac number, because 103821129 - 2³ = 103821121 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 not an unprimeable number, because it can be changed into a prime (103821121) 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, 3129 + ... + 14745.

It is an arithmetic number, because the mean of its divisors is an integer number (9642940).

Almost surely, 2^103821129 is an apocalyptic number.

It is an amenable number.

103821129 is a deficient number, since it is larger than the sum of its proper divisors (50465911).

103821129 is a wasteful number, since it uses less digits than its factorization.

103821129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11957 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 103821129 is about 10189.2653807819. The cubic root of 103821129 is about 469.9971766844.

It can be divided in two parts, 10382 and 1129, that added together give a palindrome (11511).

The spelling of 103821129 in words is "one hundred three million, eight hundred twenty-one thousand, one hundred twenty-nine".