105216100 has 36 divisors (see below), whose sum is σ = 249077808. Its totient is φ = 38260000.

The previous prime is 105216047. The next prime is 105216101. The reversal of 105216100 is 1612501.

It is a happy number.

It is a super-2 number, since 2×105216100² = 22140855398420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105216101) 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, 46726 + ... + 48925.

It is an arithmetic number, because the mean of its divisors is an integer number (6918828).

Almost surely, 2^105216100 is an apocalyptic number.

105216100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105216100 is an abundant number, since it is smaller than the sum of its proper divisors (143861708).

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

105216100 is a wasteful number, since it uses less digits than its factorization.

105216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95676 (or 95669 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 105216100 is about 10257.4899463758. The cubic root of 105216100 is about 472.0928250357.

Adding to 105216100 its reverse (1612501), we get a palindrome (106828601).

The spelling of 105216100 in words is "one hundred five million, two hundred sixteen thousand, one hundred".