10845900 has 180 divisors, whose sum is σ = 38230192. Its totient is φ = 2643840.

The previous prime is 10845899. The next prime is 10845907. The reversal of 10845900 is 954801.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10845907) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105249 + ... + 105351.

Almost surely, 2^10845900 is an apocalyptic number.

10845900 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 10845900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115096).

10845900 is an abundant number, since it is smaller than the sum of its proper divisors (27384292).

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

10845900 is a wasteful number, since it uses less digits than its factorization.

10845900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10845900 is about 3293.3114034358. The cubic root of 10845900 is about 221.3545900215.

The spelling of 10845900 in words is "ten million, eight hundred forty-five thousand, nine hundred".