103089160 has 32 divisors (see below), whose sum is σ = 235224000. Its totient is φ = 40653760.

The previous prime is 103089157. The next prime is 103089163. The reversal of 103089160 is 61980301.

103089160 = T₆₄₁₉ + T₆₄₂₀ + ... + T₆₄₂₃.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103089157) and next prime (103089163).

It is not an unprimeable number, because it can be changed into a prime (103089163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15310 + ... + 20989.

It is an arithmetic number, because the mean of its divisors is an integer number (7350750).

Almost surely, 2^103089160 is an apocalyptic number.

103089160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103089160 is an abundant number, since it is smaller than the sum of its proper divisors (132134840).

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

103089160 is a wasteful number, since it uses less digits than its factorization.

103089160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36381 (or 36377 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 103089160 is about 10153.2832128332. The cubic root of 103089160 is about 468.8900320004.

The spelling of 103089160 in words is "one hundred three million, eighty-nine thousand, one hundred sixty".