103120416 has 72 divisors (see below), whose sum is σ = 335147904. Its totient is φ = 29462400.

The previous prime is 103120411. The next prime is 103120463. The reversal of 103120416 is 614021301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (103120411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23560 + ... + 27591.

It is an arithmetic number, because the mean of its divisors is an integer number (4654832).

Almost surely, 2^103120416 is an apocalyptic number.

103120416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103120416 is an abundant number, since it is smaller than the sum of its proper divisors (232027488).

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

103120416 is a wasteful number, since it uses less digits than its factorization.

103120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51174 (or 51163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103120416 is about 10154.8223027289. The cubic root of 103120416 is about 468.9374154043.

Adding to 103120416 its reverse (614021301), we get a palindrome (717141717).

The spelling of 103120416 in words is "one hundred three million, one hundred twenty thousand, four hundred sixteen".