105666100 has 36 divisors (see below), whose sum is σ = 233633484. Its totient is φ = 41466880.

The previous prime is 105666083. The next prime is 105666103. The reversal of 105666100 is 1666501.

It can be written as a sum of positive squares in 6 ways, for example, as 4301476 + 101364624 = 2074^2 + 10068^2 .

It is a super-2 number, since 2×105666100² = 22330649378420000, which 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 not an unprimeable number, because it can be changed into a prime (105666103) 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, 4669 + ... + 15268.

It is an arithmetic number, because the mean of its divisors is an integer number (6489819).

Almost surely, 2^105666100 is an apocalyptic number.

105666100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105666100 is an abundant number, since it is smaller than the sum of its proper divisors (127967384).

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

105666100 is a wasteful number, since it uses less digits than its factorization.

105666100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20004 (or 19997 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105666100 is about 10279.4017335641. The cubic root of 105666100 is about 472.7649009630.

The spelling of 105666100 in words is "one hundred five million, six hundred sixty-six thousand, one hundred".