11345614100 has 18 divisors (see below), whose sum is σ = 24619982814. Its totient is φ = 4538245600.

The previous prime is 11345614099. The next prime is 11345614121. The reversal of 11345614100 is 141654311.

It can be written as a sum of positive squares in 3 ways, for example, as 281098756 + 11064515344 = 16766^2 + 105188^2 .

It is a super-2 number, since 2×11345614100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11345614100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56727971 + ... + 56728170.

It is an arithmetic number, because the mean of its divisors is an integer number (1367776823).

Almost surely, 2^11345614100 is an apocalyptic number.

11345614100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11345614100 is an abundant number, since it is smaller than the sum of its proper divisors (13274368714).

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

11345614100 is a wasteful number, since it uses less digits than its factorization.

11345614100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113456155 (or 113456148 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 11345614100 in words is "eleven billion, three hundred forty-five million, six hundred fourteen thousand, one hundred".