115434810 has 48 divisors (see below), whose sum is σ = 302960736. Its totient is φ = 30492384.

The previous prime is 115434791. The next prime is 115434829. The reversal of 115434810 is 18434511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115434791) and next prime (115434829).

It is a super-2 number, since 2×115434810² = 26650390719472200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3637 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (6311682).

Almost surely, 2^115434810 is an apocalyptic number.

115434810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115434810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151480368).

115434810 is an abundant number, since it is smaller than the sum of its proper divisors (187525926).

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

115434810 is a wasteful number, since it uses less digits than its factorization.

115434810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12107 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 115434810 is about 10744.0592887418. The cubic root of 115434810 is about 486.9065283070.

The spelling of 115434810 in words is "one hundred fifteen million, four hundred thirty-four thousand, eight hundred ten".