10610505056100 has 72 divisors (see below), whose sum is σ = 30701327989248. Its totient is φ = 2829320547200.

The previous prime is 10610505056093. The next prime is 10610505056141. The reversal of 10610505056100 is 165050501601.

It is a super-2 number, since 2×10610505056100² (a number of 27 digits) 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 23 ways as a sum of consecutive naturals, for example, 4905322 + ... + 6729278.

It is an arithmetic number, because the mean of its divisors is an integer number (426407333184).

Almost surely, 2^{10610505056100} is an apocalyptic number.

10610505056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10610505056100 is an abundant number, since it is smaller than the sum of its proper divisors (20090822933148).

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

10610505056100 is a wasteful number, since it uses less digits than its factorization.

10610505056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843365 (or 1843358 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 10610505056100 its reverse (165050501601), we get a palindrome (10775555557701).

The spelling of 10610505056100 in words is "ten trillion, six hundred ten billion, five hundred five million, fifty-six thousand, one hundred".