106117600 has 36 divisors (see below), whose sum is σ = 259061544. Its totient is φ = 42446720.

The previous prime is 106117579. The next prime is 106117631. The reversal of 106117600 is 6711601.

It is a super-2 number, since 2×106117600² = 22521890059520000, which 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65524 + ... + 67123.

It is an arithmetic number, because the mean of its divisors is an integer number (7196154).

Almost surely, 2^106117600 is an apocalyptic number.

106117600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106117600 is an abundant number, since it is smaller than the sum of its proper divisors (152943944).

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

106117600 is a wasteful number, since it uses less digits than its factorization.

106117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132667 (or 132654 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 106117600 is about 10301.3397186968. The cubic root of 106117600 is about 473.4373022070.

The spelling of 106117600 in words is "one hundred six million, one hundred seventeen thousand, six hundred".