103222152 has 144 divisors (see below), whose sum is σ = 316882800. Its totient is φ = 30095040.

The previous prime is 103222129. The next prime is 103222159. The reversal of 103222152 is 251222301.

It is a super-2 number, since 2×103222152² = 21309625327022208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103222159) 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 35 ways as a sum of consecutive naturals, for example, 1749499 + ... + 1749557.

It is an arithmetic number, because the mean of its divisors is an integer number (2200575).

Almost surely, 2^103222152 is an apocalyptic number.

103222152 is a gapful number since it is divisible by the number (12) 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 103222152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158441400).

103222152 is an abundant number, since it is smaller than the sum of its proper divisors (213660648).

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

103222152 is a wasteful number, since it uses less digits than its factorization.

103222152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103222152 is about 10159.8303135436. The cubic root of 103222152 is about 469.0915786575.

Adding to 103222152 its reverse (251222301), we get a palindrome (354444453).

The spelling of 103222152 in words is "one hundred three million, two hundred twenty-two thousand, one hundred fifty-two".