114102560 has 96 divisors (see below), whose sum is σ = 316757952. Its totient is φ = 38292480.

The previous prime is 114102557. The next prime is 114102601. The reversal of 114102560 is 65201411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20387 + ... + 25373.

It is an arithmetic number, because the mean of its divisors is an integer number (3299562).

Almost surely, 2^114102560 is an apocalyptic number.

114102560 is a gapful number since it is divisible by the number (10) 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 114102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158378976).

114102560 is an abundant number, since it is smaller than the sum of its proper divisors (202655392).

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

114102560 is a wasteful number, since it uses less digits than its factorization.

114102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 114102560 is about 10681.8799843473. The cubic root of 114102560 is about 485.0261225169.

Adding to 114102560 its reverse (65201411), we get a palindrome (179303971).

The spelling of 114102560 in words is "one hundred fourteen million, one hundred two thousand, five hundred sixty".