11315700 has 180 divisors, whose sum is σ = 40330752. Its totient is φ = 2721600.

The previous prime is 11315699. The next prime is 11315741. The reversal of 11315700 is 751311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89037 + ... + 89163.

Almost surely, 2^11315700 is an apocalyptic number.

11315700 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 11315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20165376).

11315700 is an abundant number, since it is smaller than the sum of its proper divisors (29015052).

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

11315700 is a wasteful number, since it uses less digits than its factorization.

11315700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 11315700 is about 3363.8816863855. The cubic root of 11315700 is about 224.5055810174.

The spelling of 11315700 in words is "eleven million, three hundred fifteen thousand, seven hundred".