13910100 has 72 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3674880.

The previous prime is 13910081. The next prime is 13910119. The reversal of 13910100 is 101931.

It is an interprime number because it is at equal distance from previous prime (13910081) and next prime (13910119).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13910100.

It is a congruent number.

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, 59584 + ... + 59816.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^13910100 is an apocalyptic number.

13910100 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 13910100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

13910100 is an abundant number, since it is smaller than the sum of its proper divisors (26712300).

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

13910100 is a wasteful number, since it uses less digits than its factorization.

13910100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 13910100 is about 3729.6246459932. The cubic root of 13910100 is about 240.4972330080.

The spelling of 13910100 in words is "thirteen million, nine hundred ten thousand, one hundred".