103705992 has 96 divisors (see below), whose sum is σ = 305749080. Its totient is φ = 31564800.

The previous prime is 103705991. The next prime is 103705997. The reversal of 103705992 is 299507301.

It can be written as a sum of positive squares in 4 ways, for example, as 87497316 + 16208676 = 9354^2 + 4026^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103705991) 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 23 ways as a sum of consecutive naturals, for example, 93988 + ... + 95084.

Almost surely, 2^103705992 is an apocalyptic number.

103705992 is a gapful number since it is divisible by the number (12) 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 103705992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152874540).

103705992 is an abundant number, since it is smaller than the sum of its proper divisors (202043088).

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

103705992 is a wasteful number, since it uses less digits than its factorization.

103705992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 103705992 is about 10183.6138968443. The cubic root of 103705992 is about 469.8233710829.

The spelling of 103705992 in words is "one hundred three million, seven hundred five thousand, nine hundred ninety-two".