540116100 has 252 divisors, whose sum is σ = 1821550080. Its totient is φ = 138801600.

The previous prime is 540116081. The next prime is 540116113. The reversal of 540116100 is 1611045.

540116100 is a `hidden beast` number, since 5 + 40 + 11 + 610 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 2259781 + ... + 2260019.

Almost surely, 2^540116100 is an apocalyptic number.

540116100 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 540116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910775040).

540116100 is an abundant number, since it is smaller than the sum of its proper divisors (1281433980).

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

540116100 is a wasteful number, since it uses less digits than its factorization.

540116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 540116100 is about 23240.3980172457. The cubic root of 540116100 is about 814.3836407753.

Adding to 540116100 its reverse (1611045), we get a palindrome (541727145).

The spelling of 540116100 in words is "five hundred forty million, one hundred sixteen thousand, one hundred".