114188100 has 288 divisors, whose sum is σ = 396641280. Its totient is φ = 25090560.

The previous prime is 114188089. The next prime is 114188111. The reversal of 114188100 is 1881411.

It is an interprime number because it is at equal distance from previous prime (114188089) and next prime (114188111).

It is a super-2 number, since 2×114188100² = 26077844363220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1704267 + ... + 1704333.

Almost surely, 2^114188100 is an apocalyptic number.

114188100 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 114188100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198320640).

114188100 is an abundant number, since it is smaller than the sum of its proper divisors (282453180).

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

114188100 is a wasteful number, since it uses less digits than its factorization.

114188100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The square root of 114188100 is about 10685.8832110406. The cubic root of 114188100 is about 485.1472964591.

The spelling of 114188100 in words is "one hundred fourteen million, one hundred eighty-eight thousand, one hundred".