114097760 has 48 divisors (see below), whose sum is σ = 308066976. Its totient is φ = 39118848.

The previous prime is 114097747. The next prime is 114097777. The reversal of 114097760 is 67790411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 114097760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49817 + ... + 52056.

It is an arithmetic number, because the mean of its divisors is an integer number (6418062).

Almost surely, 2^114097760 is an apocalyptic number.

114097760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114097760 is an abundant number, since it is smaller than the sum of its proper divisors (193969216).

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

114097760 is a wasteful number, since it uses less digits than its factorization.

114097760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101895 (or 101887 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 114097760 is about 10681.6553024332. The cubic root of 114097760 is about 485.0193211561.

The spelling of 114097760 in words is "one hundred fourteen million, ninety-seven thousand, seven hundred sixty".