23078100 has 72 divisors (see below), whose sum is σ = 68363680. Its totient is φ = 6007680.

The previous prime is 23078093. The next prime is 23078119. The reversal of 23078100 is 187032.

It is a super-2 number, since 2×23078100² = 1065197399220000, 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 23 ways as a sum of consecutive naturals, for example, 12006 + ... + 13794.

Almost surely, 2^23078100 is an apocalyptic number.

23078100 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 23078100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181840).

23078100 is an abundant number, since it is smaller than the sum of its proper divisors (45285580).

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

23078100 is a wasteful number, since it uses less digits than its factorization.

23078100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 23078100 is about 4803.9671106285. The cubic root of 23078100 is about 284.7082270954.

The spelling of 23078100 in words is "twenty-three million, seventy-eight thousand, one hundred".