103313100 has 72 divisors (see below), whose sum is σ = 326104128. Its totient is φ = 25044800.

The previous prime is 103313099. The next prime is 103313107. The reversal of 103313100 is 1313301.

It is a super-2 number, since 2×103313100² = 21347193263220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12354 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (4529224).

Almost surely, 2^103313100 is an apocalyptic number.

103313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313100 is an abundant number, since it is smaller than the sum of its proper divisors (222791028).

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

103313100 is a wasteful number, since it uses less digits than its factorization.

103313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31335 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 103313100 is about 10164.3051902233. The cubic root of 103313100 is about 469.2293088385.

Adding to 103313100 its reverse (1313301), we get a palindrome (104626401).

It can be divided in two parts, 10331 and 3100, that added together give a palindrome (13431).

The spelling of 103313100 in words is "one hundred three million, three hundred thirteen thousand, one hundred".