105661100 has 36 divisors (see below), whose sum is σ = 234886008. Its totient is φ = 41232000.

The previous prime is 105661099. The next prime is 105661121. The reversal of 105661100 is 1166501.

It is a happy number.

It is a super-2 number, since 2×105661100² = 22328536106420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8786 + ... + 16985.

Almost surely, 2^105661100 is an apocalyptic number.

105661100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105661100 is an abundant number, since it is smaller than the sum of its proper divisors (129224908).

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

105661100 is a wasteful number, since it uses less digits than its factorization.

105661100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25826 (or 25819 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105661100 is about 10279.1585258717. The cubic root of 105661100 is about 472.7574439458.

The spelling of 105661100 in words is "one hundred five million, six hundred sixty-one thousand, one hundred".