103012320 has 96 divisors (see below), whose sum is σ = 325993248. Its totient is φ = 27342848.

The previous prime is 103012309. The next prime is 103012361. The reversal of 103012320 is 23210301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103012320² = 21223076143564800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103012296 and 103012305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151822 + ... + 152498.

It is an arithmetic number, because the mean of its divisors is an integer number (3395763).

Almost surely, 2^103012320 is an apocalyptic number.

103012320 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 103012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162996624).

103012320 is an abundant number, since it is smaller than the sum of its proper divisors (222980928).

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

103012320 is a wasteful number, since it uses less digits than its factorization.

103012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103012320 is about 10149.4985097787. The cubic root of 103012320 is about 468.7735035326.

Adding to 103012320 its reverse (23210301), we get a palindrome (126222621).

It can be divided in two parts, 10301 and 2320, that added together give a palindrome (12621).

The spelling of 103012320 in words is "one hundred three million, twelve thousand, three hundred twenty".