971117100 has 90 divisors (see below), whose sum is σ = 3148004244. Its totient is φ = 258962400.

The previous prime is 971117087. The next prime is 971117111. The reversal of 971117100 is 1711179.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 51846 + ... + 68045.

Almost surely, 2^971117100 is an apocalyptic number.

971117100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

971117100 is an abundant number, since it is smaller than the sum of its proper divisors (2176887144).

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

971117100 is a wasteful number, since it uses less digits than its factorization.

971117100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119917 (or 119901 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 27.

The square root of 971117100 is about 31162.7518040368. The cubic root of 971117100 is about 990.2781587535.

Adding to 971117100 its reverse (1711179), we get a palindrome (972828279).

The spelling of 971117100 in words is "nine hundred seventy-one million, one hundred seventeen thousand, one hundred".