56105100 has 216 divisors, whose sum is σ = 197018640. Its totient is φ = 13271040.

The previous prime is 56105087. The next prime is 56105131. The reversal of 56105100 is 150165.

56105100 is a `hidden beast` number, since 5 + 610 + 51 + 0 + 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 71 ways as a sum of consecutive naturals, for example, 290604 + ... + 290796.

Almost surely, 2^56105100 is an apocalyptic number.

56105100 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 56105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98509320).

56105100 is an abundant number, since it is smaller than the sum of its proper divisors (140913540).

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

56105100 is a wasteful number, since it uses less digits than its factorization.

56105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 56105100 is about 7490.3337709344. Note that the first 3 decimals coincide. The cubic root of 56105100 is about 382.8254311056.

Adding to 56105100 its reverse (150165), we get a palindrome (56255265).

The spelling of 56105100 in words is "fifty-six million, one hundred five thousand, one hundred".