2025100 has 72 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 628800.

The previous prime is 2025053. The next prime is 2025103. The reversal of 2025100 is 15202.

2025100 = T₅₆ + T₅₇ + ... + T₂₃₀.

2025100 = 15² + 16² + ... + 182².

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2025103) 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, 7569 + ... + 7831.

It is an arithmetic number, because the mean of its divisors is an integer number (76384).

2^2025100 is an apocalyptic number.

2025100 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 2025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2025100 is an abundant number, since it is smaller than the sum of its proper divisors (3474548).

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

2025100 is a wasteful number, since it uses less digits than its factorization.

2025100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2025100 is about 1423.0600830604. The cubic root of 2025100 is about 126.5169823108.

The spelling of 2025100 in words is "two million, twenty-five thousand, one hundred".