13960100 has 144 divisors (see below), whose sum is σ = 39580800. Its totient is φ = 4233600.

The previous prime is 13960099. The next prime is 13960109. The reversal of 13960100 is 106931.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13960109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377282 + ... + 377318.

Almost surely, 2^13960100 is an apocalyptic number.

13960100 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 13960100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19790400).

13960100 is an abundant number, since it is smaller than the sum of its proper divisors (25620700).

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

13960100 is a wasteful number, since it uses less digits than its factorization.

13960100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 13960100 is about 3736.3217206231. The cubic root of 13960100 is about 240.7850450420.

The spelling of 13960100 in words is "thirteen million, nine hundred sixty thousand, one hundred".