103111120 has 80 divisors (see below), whose sum is σ = 290124288. Its totient is φ = 33269760.

The previous prime is 103111111. The next prime is 103111133. The reversal of 103111120 is 21111301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 103111097 and 103111106.

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, 4105 + ... + 14935.

Almost surely, 2^103111120 is an apocalyptic number.

103111120 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 103111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145062144).

103111120 is an abundant number, since it is smaller than the sum of its proper divisors (187013168).

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

103111120 is a wasteful number, since it uses less digits than its factorization.

103111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10868 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 103111120 is about 10154.3645788400. The cubic root of 103111120 is about 468.9233238747.

Adding to 103111120 its reverse (21111301), we get a palindrome (124222421).

The spelling of 103111120 in words is "one hundred three million, one hundred eleven thousand, one hundred twenty".