103122100 has 36 divisors (see below), whose sum is σ = 228008844. Its totient is φ = 40468480.

The previous prime is 103122077. The next prime is 103122109. The reversal of 103122100 is 1221301.

It can be written as a sum of positive squares in 6 ways, for example, as 2039184 + 101082916 = 1428^2 + 10054^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4429 + ... + 15028.

It is an arithmetic number, because the mean of its divisors is an integer number (6333579).

Almost surely, 2^103122100 is an apocalyptic number.

103122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103122100 is an abundant number, since it is smaller than the sum of its proper divisors (124886744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103122100 is a wasteful number, since it uses less digits than its factorization.

103122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19524 (or 19517 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 103122100 is about 10154.9052186616. The cubic root of 103122100 is about 468.9399680392.

Adding to 103122100 its reverse (1221301), we get a palindrome (104343401).

The spelling of 103122100 in words is "one hundred three million, one hundred twenty-two thousand, one hundred".