105617010100 has 72 divisors (see below), whose sum is σ = 277337874240. Its totient is φ = 34081451520.

The previous prime is 105617010077. The next prime is 105617010113. The reversal of 105617010100 is 1010716501.

It is a super-2 number, since 2×105617010100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4425790 + ... + 4449589.

It is an arithmetic number, because the mean of its divisors is an integer number (3851914920).

Almost surely, 2^105617010100 is an apocalyptic number.

105617010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105617010100 is an abundant number, since it is smaller than the sum of its proper divisors (171720864140).

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

105617010100 is a wasteful number, since it uses less digits than its factorization.

105617010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875417 (or 8875410 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 22.

Adding to 105617010100 its reverse (1010716501), we get a palindrome (106627726601).

The spelling of 105617010100 in words is "one hundred five billion, six hundred seventeen million, ten thousand, one hundred".