100116945 has 32 divisors (see below), whose sum is σ = 180441600. Its totient is φ = 52659072.

The previous prime is 100116911. The next prime is 100116977. The reversal of 100116945 is 549611001.

It is not a de Polignac number, because 100116945 - 2⁷ = 100116817 is a prime.

It is a super-2 number, since 2×100116945² = 20046805352266050, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4776 + ... + 14934.

It is an arithmetic number, because the mean of its divisors is an integer number (5638800).

Almost surely, 2^100116945 is an apocalyptic number.

100116945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100116945 is a deficient number, since it is larger than the sum of its proper divisors (80324655).

100116945 is a wasteful number, since it uses less digits than its factorization.

100116945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10240 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 100116945 is about 10005.8455414822. The cubic root of 100116945 is about 464.3397497436.

Adding to 100116945 its reverse (549611001), we get a palindrome (649727946).

The spelling of 100116945 in words is "one hundred million, one hundred sixteen thousand, nine hundred forty-five".