111302820 has 36 divisors (see below), whose sum is σ = 337619100. Its totient is φ = 29680704.

The previous prime is 111302801. The next prime is 111302839. The reversal of 111302820 is 28203111.

It is an interprime number because it is at equal distance from previous prime (111302801) and next prime (111302839).

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 45887076 = 8088^2 + 6774^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 111302793 and 111302802.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 308995 + ... + 309354.

Almost surely, 2^111302820 is an apocalyptic number.

111302820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111302820 is an abundant number, since it is smaller than the sum of its proper divisors (226316280).

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

111302820 is a wasteful number, since it uses less digits than its factorization.

111302820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618364 (or 618359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 111302820 is about 10550.0151658659. The cubic root of 111302820 is about 481.0261899661.

Adding to 111302820 its reverse (28203111), we get a palindrome (139505931).

The spelling of 111302820 in words is "one hundred eleven million, three hundred two thousand, eight hundred twenty".