105510006100600 has 48 divisors (see below), whose sum is σ = 245326129450920. Its totient is φ = 42201358953600.

The previous prime is 105510006100591. The next prime is 105510006100627. The reversal of 105510006100600 is 6001600015501.

It is a super-2 number, since 2×105510006100600² (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13319206 + ... + 19708405.

Almost surely, 2^{105510006100600} is an apocalyptic number.

105510006100600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105510006100600 is an abundant number, since it is smaller than the sum of its proper divisors (139816123350320).

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

105510006100600 is a wasteful number, since it uses less digits than its factorization.

105510006100600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33043600 (or 33043591 counting only the distinct ones).

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

The spelling of 105510006100600 in words is "one hundred five trillion, five hundred ten billion, six million, one hundred thousand, six hundred".