103122000 has 240 divisors, whose sum is σ = 382488912. Its totient is φ = 25804800.

The previous prime is 103121989. The next prime is 103122031. The reversal of 103122000 is 221301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30735936 + 72386064 = 5544^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305832 + ... + 306168.

Almost surely, 2^103122000 is an apocalyptic number.

103122000 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 103122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191244456).

103122000 is an abundant number, since it is smaller than the sum of its proper divisors (279366912).

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

103122000 is a wasteful number, since it uses less digits than its factorization.

103122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103122000 is about 10154.9002949315. The cubic root of 103122000 is about 468.9398164583.

Adding to 103122000 its reverse (221301), we get a palindrome (103343301).

The spelling of 103122000 in words is "one hundred three million, one hundred twenty-two thousand".