103642120 has 16 divisors (see below), whose sum is σ = 233194860. Its totient is φ = 41456832.

The previous prime is 103642109. The next prime is 103642129. The reversal of 103642120 is 21246301.

It can be written as a sum of positive squares in 2 ways, for example, as 98525476 + 5116644 = 9926^2 + 2262^2 .

It is a super-3 number, since 3×103642120³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103642129) 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 3 ways as a sum of consecutive naturals, for example, 1295487 + ... + 1295566.

Almost surely, 2^103642120 is an apocalyptic number.

103642120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103642120 is an abundant number, since it is smaller than the sum of its proper divisors (129552740).

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

103642120 is a wasteful number, since it uses less digits than its factorization.

103642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591064 (or 2591060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 103642120 is about 10180.4773954859. The cubic root of 103642120 is about 469.7268973222.

Adding to 103642120 its reverse (21246301), we get a palindrome (124888421).

The spelling of 103642120 in words is "one hundred three million, six hundred forty-two thousand, one hundred twenty".