100117954 has 16 divisors (see below), whose sum is σ = 161066880. Its totient is φ = 46528560.

The previous prime is 100117951. The next prime is 100117987. The reversal of 100117954 is 459711001.

It is a super-2 number, since 2×100117954² = 20047209426292232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100117951) 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 7 ways as a sum of consecutive naturals, for example, 22842 + ... + 26869.

It is an arithmetic number, because the mean of its divisors is an integer number (10066680).

Almost surely, 2^100117954 is an apocalyptic number.

100117954 is a deficient number, since it is larger than the sum of its proper divisors (60948926).

100117954 is a wasteful number, since it uses less digits than its factorization.

100117954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49785.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 100117954 is about 10005.8959618817. The cubic root of 100117954 is about 464.3413096435.

Adding to 100117954 its reverse (459711001), we get a palindrome (559828955).

The spelling of 100117954 in words is "one hundred million, one hundred seventeen thousand, nine hundred fifty-four".