66100107 has 16 divisors (see below), whose sum is σ = 93632000. Its totient is φ = 41360544.

The previous prime is 66100087. The next prime is 66100109. The reversal of 66100107 is 70100166.

It is not a de Polignac number, because 66100107 - 2¹¹ = 66098059 is a prime.

It is a super-2 number, since 2×66100107² = 8738448290822898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66100109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894 + ... + 11532.

It is an arithmetic number, because the mean of its divisors is an integer number (5852000).

Almost surely, 2^66100107 is an apocalyptic number.

66100107 is a deficient number, since it is larger than the sum of its proper divisors (27531893).

66100107 is a wasteful number, since it uses less digits than its factorization.

66100107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 66100107 is about 8130.1972300800. The cubic root of 66100107 is about 404.3282202677.

The spelling of 66100107 in words is "sixty-six million, one hundred thousand, one hundred seven".