103121000 has 64 divisors (see below), whose sum is σ = 243930960. Its totient is φ = 40800000.

The previous prime is 103120981. The next prime is 103121023. The reversal of 103121000 is 121301.

It can be written as a sum of positive squares in 8 ways, for example, as 24940036 + 78180964 = 4994^2 + 8842^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100490 + ... + 101510.

Almost surely, 2^103121000 is an apocalyptic number.

103121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121965480).

103121000 is an abundant number, since it is smaller than the sum of its proper divisors (140809960).

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

103121000 is a wasteful number, since it uses less digits than its factorization.

103121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 103121000 is about 10154.8510574996. The cubic root of 103121000 is about 468.9383006443.

Adding to 103121000 its reverse (121301), we get a palindrome (103242301).

The spelling of 103121000 in words is "one hundred three million, one hundred twenty-one thousand".