4158100 has 36 divisors (see below), whose sum is σ = 9242464. Its totient is φ = 1622880.

The previous prime is 4158083. The next prime is 4158103. The reversal of 4158100 is 18514.

It is a super-2 number, since 2×4158100² = 34579591220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4158103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3817 + ... + 4783.

Almost surely, 2^4158100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4158100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621232).

4158100 is an abundant number, since it is smaller than the sum of its proper divisors (5084364).

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

4158100 is a wasteful number, since it uses less digits than its factorization.

4158100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 4158100 is about 2039.1419764205. The cubic root of 4158100 is about 160.8045414260.

It can be divided in two parts, 415 and 8100, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 4158100 in words is "four million, one hundred fifty-eight thousand, one hundred".