105505101006100 has 72 divisors (see below), whose sum is σ = 229929416644928. Its totient is φ = 42020829043200.

The previous prime is 105505101006089. The next prime is 105505101006139. The reversal of 105505101006100 is 1600101505501.

It is a super-2 number, since 2×105505101006100² (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 23 ways as a sum of consecutive naturals, for example, 167590519 + ... + 168218881.

Almost surely, 2^{105505101006100} is an apocalyptic number.

105505101006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505101006100 is an abundant number, since it is smaller than the sum of its proper divisors (124424315638828).

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

105505101006100 is a wasteful number, since it uses less digits than its factorization.

105505101006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635585 (or 635578 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105505101006100 in words is "one hundred five trillion, five hundred five billion, one hundred one million, six thousand, one hundred".