541676100 has 144 divisors (see below), whose sum is σ = 1896628608. Its totient is φ = 116520960.

The previous prime is 541676089. The next prime is 541676137. The reversal of 541676100 is 1676145.

It is a super-2 number, since 2×541676100² = 586825994622420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28114 + ... + 43286.

It is an arithmetic number, because the mean of its divisors is an integer number (13171032).

Almost surely, 2^541676100 is an apocalyptic number.

541676100 is a gapful number since it is divisible by the number (50) 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 541676100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948314304).

541676100 is an abundant number, since it is smaller than the sum of its proper divisors (1354952508).

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

541676100 is a wasteful number, since it uses less digits than its factorization.

541676100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15214 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 541676100 is about 23273.9360659086. The cubic root of 541676100 is about 815.1669398451.

The spelling of 541676100 in words is "five hundred forty-one million, six hundred seventy-six thousand, one hundred".