13484100 has 72 divisors (see below), whose sum is σ = 44594368. Its totient is φ = 3081600.

The previous prime is 13484099. The next prime is 13484113. The reversal of 13484100 is 148431.

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

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, 1111 + ... + 5310.

Almost surely, 2^13484100 is an apocalyptic number.

13484100 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 13484100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297184).

13484100 is an abundant number, since it is smaller than the sum of its proper divisors (31110268).

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

13484100 is a wasteful number, since it uses less digits than its factorization.

13484100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13484100 is about 3672.0702607657. The cubic root of 13484100 is about 238.0166407874.

The spelling of 13484100 in words is "thirteen million, four hundred eighty-four thousand, one hundred".