100271661 has 32 divisors (see below), whose sum is σ = 162904320. Its totient is φ = 53554176.

The previous prime is 100271659. The next prime is 100271663. The reversal of 100271661 is 166172001.

It is an interprime number because it is at equal distance from previous prime (100271659) and next prime (100271663).

It is not a de Polignac number, because 100271661 - 2¹ = 100271659 is a prime.

It is a super-3 number, since 3×100271661³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100271663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55155 + ... + 56943.

It is an arithmetic number, because the mean of its divisors is an integer number (5090760).

Almost surely, 2^100271661 is an apocalyptic number.

It is an amenable number.

100271661 is a deficient number, since it is larger than the sum of its proper divisors (62632659).

100271661 is a wasteful number, since it uses less digits than its factorization.

100271661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 100271661 is about 10013.5738375467. The cubic root of 100271661 is about 464.5788162140.

The spelling of 100271661 in words is "one hundred million, two hundred seventy-one thousand, six hundred sixty-one".