100616971 has 16 divisors (see below), whose sum is σ = 124305664. Its totient is φ = 79307424.

The previous prime is 100616963. The next prime is 100616981. The reversal of 100616971 is 179616001.

It is not a de Polignac number, because 100616971 - 2³ = 100616963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100616981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23800 + ... + 27706.

It is an arithmetic number, because the mean of its divisors is an integer number (7769104).

Almost surely, 2^100616971 is an apocalyptic number.

100616971 is a deficient number, since it is larger than the sum of its proper divisors (23688693).

100616971 is a wasteful number, since it uses less digits than its factorization.

100616971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210.

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 100616971 is about 10030.8011145671. The cubic root of 100616971 is about 465.1115021466. Note that the first 3 decimals are identical.

The spelling of 100616971 in words is "one hundred million, six hundred sixteen thousand, nine hundred seventy-one".