505610106100 has 72 divisors (see below), whose sum is σ = 1213775188416. Its totient is φ = 181268640000.

The previous prime is 505610106083. The next prime is 505610106193. The reversal of 505610106100 is 1601016505.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3158841 + ... + 3315040.

It is an arithmetic number, because the mean of its divisors is an integer number (16857988728).

Almost surely, 2^505610106100 is an apocalyptic number.

505610106100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505610106100 is an abundant number, since it is smaller than the sum of its proper divisors (708165082316).

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

505610106100 is a wasteful number, since it uses less digits than its factorization.

505610106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473977 (or 6473970 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 505610106100 in words is "five hundred five billion, six hundred ten million, one hundred six thousand, one hundred".