105117100 has 36 divisors (see below), whose sum is σ = 248843448. Its totient is φ = 38224000.

The previous prime is 105117097. The next prime is 105117109. The reversal of 105117100 is 1711501.

It is a super-2 number, since 2×105117100² = 22099209424820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105117109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46681 + ... + 48880.

It is an arithmetic number, because the mean of its divisors is an integer number (6912318).

Almost surely, 2^105117100 is an apocalyptic number.

105117100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105117100 is an abundant number, since it is smaller than the sum of its proper divisors (143726348).

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

105117100 is a wasteful number, since it uses less digits than its factorization.

105117100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95586 (or 95579 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 16.

The square root of 105117100 is about 10252.6630686861. The cubic root of 105117100 is about 471.9447112774.

Adding to 105117100 its reverse (1711501), we get a palindrome (106828601).

The spelling of 105117100 in words is "one hundred five million, one hundred seventeen thousand, one hundred".