114101760 has 160 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 29892608.

The previous prime is 114101749. The next prime is 114101789. The reversal of 114101760 is 67101411.

It is a tau number, because it is divible by the number of its divisors (160).

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, 637351 + ... + 637529.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^114101760 is an apocalyptic number.

114101760 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 114101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

114101760 is an abundant number, since it is smaller than the sum of its proper divisors (257124480).

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

114101760 is an equidigital number, since it uses as much as digits as its factorization.

114101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 114101760 is about 10681.8425376898. The cubic root of 114101760 is about 485.0249889700.

The spelling of 114101760 in words is "one hundred fourteen million, one hundred one thousand, seven hundred sixty".