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103122 = 23217337
BaseRepresentation
bin11001001011010010
312020110100
4121023102
511244442
62113230
7606435
oct311322
9166410
10103122
1170528
124b816
1337c26
142981c
152084c
hex192d2

103122 has 24 divisors (see below), whose sum is σ = 237276. Its totient is φ = 32256.

The previous prime is 103099. The next prime is 103123. The reversal of 103122 is 221301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 103041 + 81 = 321^2 + 9^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103122.

It is not an unprimeable number, because it can be changed into a prime (103123) by changing a digit.

103122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138 + ... + 474.

2103122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118638).

103122 is an abundant number, since it is smaller than the sum of its proper divisors (134154).

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

103122 is a wasteful number, since it uses less digits than its factorization.

103122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 359 counting only the distinct ones).

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

The square root of 103122 is about 321.1261434390. The cubic root of 103122 is about 46.8939816458.

Adding to 103122 its reverse (221301), we get a palindrome (324423).

It can be divided in two parts, 103 and 122, that added together give a square (225 = 152).

The spelling of 103122 in words is "one hundred three thousand, one hundred twenty-two", and thus it is an iban number.