101666031 has 16 divisors (see below), whose sum is σ = 138869856. Its totient is φ = 66134016.

The previous prime is 101666011. The next prime is 101666039. The reversal of 101666031 is 130666101.

It is not a de Polignac number, because 101666031 - 2¹⁷ = 101534959 is a prime.

It is a super-3 number, since 3×101666031³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101665992 and 101666010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101666039) 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, 29031 + ... + 32343.

It is an arithmetic number, because the mean of its divisors is an integer number (8679366).

Almost surely, 2^101666031 is an apocalyptic number.

101666031 is a deficient number, since it is larger than the sum of its proper divisors (37203825).

101666031 is a wasteful number, since it uses less digits than its factorization.

101666031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 101666031 is about 10082.9574530492. The cubic root of 101666031 is about 466.7223763991.

The spelling of 101666031 in words is "one hundred one million, six hundred sixty-six thousand, thirty-one".