103516992 has 42 divisors (see below), whose sum is σ = 296714418. Its totient is φ = 34505472.

The previous prime is 103516991. The next prime is 103517027. The reversal of 103516992 is 299615301.

It can be written as a sum of positive squares in only one way, i.e., 61214976 + 42302016 = 7824^2 + 6504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103516991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89283 + ... + 90434.

It is an arithmetic number, because the mean of its divisors is an integer number (7064629).

Almost surely, 2^103516992 is an apocalyptic number.

103516992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103516992 is an abundant number, since it is smaller than the sum of its proper divisors (193197426).

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

103516992 is a wasteful number, since it uses less digits than its factorization.

103516992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179735 (or 179722 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 103516992 is about 10174.3300516545. The cubic root of 103516992 is about 469.5377861234.

The spelling of 103516992 in words is "one hundred three million, five hundred sixteen thousand, nine hundred ninety-two".