23378100 has 72 divisors (see below), whose sum is σ = 68224800. Its totient is φ = 6180480.

The previous prime is 23378093. The next prime is 23378107. The reversal of 23378100 is 187332.

It is an interprime number because it is at equal distance from previous prime (23378093) and next prime (23378107).

It is a super-2 number, since 2×23378100² = 1093071119220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23378107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44439 + ... + 44961.

Almost surely, 2^23378100 is an apocalyptic number.

23378100 is a gapful number since it is divisible by the number (20) 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 23378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34112400).

23378100 is an abundant number, since it is smaller than the sum of its proper divisors (44846700).

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

23378100 is a wasteful number, since it uses less digits than its factorization.

23378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 23378100 is about 4835.0904851926. The cubic root of 23378100 is about 285.9365924603.

The spelling of 23378100 in words is "twenty-three million, three hundred seventy-eight thousand, one hundred".