4148100 has 108 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1003200.

The previous prime is 4148087. The next prime is 4148101. The reversal of 4148100 is 18414.

It is a super-2 number, since 2×4148100² = 34413467220000, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4148101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9691 + ... + 10109.

Almost surely, 2^4148100 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 4148100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

4148100 is an abundant number, since it is smaller than the sum of its proper divisors (10069740).

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

4148100 is a wasteful number, since it uses less digits than its factorization.

4148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4148100 is about 2036.6884886992. The cubic root of 4148100 is about 160.6755292789.

The spelling of 4148100 in words is "four million, one hundred forty-eight thousand, one hundred".