3105900 has 216 divisors, whose sum is σ = 12186720. Its totient is φ = 645120.

The previous prime is 3105887. The next prime is 3105913. The reversal of 3105900 is 95013.

3105900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3105887) and next prime (3105913).

It is a super-2 number, since 2×3105900² = 19293229620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107086 + ... + 107114.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

Almost surely, 2^3105900 is an apocalyptic number.

3105900 is a gapful number since it is divisible by the number (30) 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 3105900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3105900 is an abundant number, since it is smaller than the sum of its proper divisors (9080820).

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

3105900 is a wasteful number, since it uses less digits than its factorization.

3105900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 3105900 is about 1762.3563771269. The cubic root of 3105900 is about 145.9024180614.

It can be divided in two parts, 3105 and 900, that added together give a triangular number (4005 = T₈₉).

The spelling of 3105900 in words is "three million, one hundred five thousand, nine hundred".