102611120 has 20 divisors (see below), whose sum is σ = 238571040. Its totient is φ = 41044416.

The previous prime is 102611087. The next prime is 102611129. The reversal of 102611120 is 21116201.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 102611095 and 102611104.

It is not an unprimeable number, because it can be changed into a prime (102611129) 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 3 ways as a sum of consecutive naturals, for example, 641240 + ... + 641399.

It is an arithmetic number, because the mean of its divisors is an integer number (11928552).

Almost surely, 2^102611120 is an apocalyptic number.

102611120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102611120 is an abundant number, since it is smaller than the sum of its proper divisors (135959920).

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

102611120 is a wasteful number, since it uses less digits than its factorization.

102611120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282652 (or 1282646 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 102611120 is about 10129.7147047683. The cubic root of 102611120 is about 468.1641375226.

Adding to 102611120 its reverse (21116201), we get a palindrome (123727321).

The spelling of 102611120 in words is "one hundred two million, six hundred eleven thousand, one hundred twenty".