103133160 has 96 divisors (see below), whose sum is σ = 360982440. Its totient is φ = 25385472.

The previous prime is 103133153. The next prime is 103133183. The reversal of 103133160 is 61331301.

It can be written as a sum of positive squares in 4 ways, for example, as 41447844 + 61685316 = 6438^2 + 7854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6339 + ... + 15698.

Almost surely, 2^103133160 is an apocalyptic number.

103133160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103133160 is an abundant number, since it is smaller than the sum of its proper divisors (257849280).

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

103133160 is a wasteful number, since it uses less digits than its factorization.

103133160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22067 (or 22060 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 103133160 is about 10155.4497684741. The cubic root of 103133160 is about 468.9567322784.

Adding to 103133160 its reverse (61331301), we get a palindrome (164464461).

It can be divided in two parts, 1031 and 33160, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 103133160 in words is "one hundred three million, one hundred thirty-three thousand, one hundred sixty".