13958100 has 108 divisors (see below), whose sum is σ = 47155836. Its totient is φ = 3432960.

The previous prime is 13958093. The next prime is 13958117. The reversal of 13958100 is 185931.

It can be written as a sum of positive squares in 6 ways, for example, as 1468944 + 12489156 = 1212^2 + 3534^2 .

It is a super-2 number, since 2×13958100² = 389657111220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11104 + ... + 12296.

Almost surely, 2^13958100 is an apocalyptic number.

13958100 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 13958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577918).

13958100 is an abundant number, since it is smaller than the sum of its proper divisors (33197736).

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

13958100 is a wasteful number, since it uses less digits than its factorization.

13958100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13958100 is about 3736.0540681312. The cubic root of 13958100 is about 240.7735457670.

The spelling of 13958100 in words is "thirteen million, nine hundred fifty-eight thousand, one hundred".