103146960 has 200 divisors, whose sum is σ = 375109920. Its totient is φ = 23444736.

The previous prime is 103146941. The next prime is 103146961. The reversal of 103146960 is 69641301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103146961) 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 39 ways as a sum of consecutive naturals, for example, 576151 + ... + 576329.

Almost surely, 2^103146960 is an apocalyptic number.

103146960 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 103146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187554960).

103146960 is an abundant number, since it is smaller than the sum of its proper divisors (271962960).

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

103146960 is an equidigital number, since it uses as much as digits as its factorization.

103146960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 103146960 is about 10156.1291838968. The cubic root of 103146960 is about 468.9776480028.

The spelling of 103146960 in words is "one hundred three million, one hundred forty-six thousand, nine hundred sixty".