114253104 has 120 divisors (see below), whose sum is σ = 354643968. Its totient is φ = 31570560.

The previous prime is 114253081. The next prime is 114253109. The reversal of 114253104 is 401352411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114253109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72129 + ... + 73695.

Almost surely, 2^114253104 is an apocalyptic number.

114253104 is a gapful number since it is divisible by the number (14) 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 114253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177321984).

114253104 is an abundant number, since it is smaller than the sum of its proper divisors (240390864).

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

114253104 is a wasteful number, since it uses less digits than its factorization.

114253104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114253104 is about 10688.9243612255. The cubic root of 114253104 is about 485.2393391281.

The spelling of 114253104 in words is "one hundred fourteen million, two hundred fifty-three thousand, one hundred four".