100117878 has 48 divisors (see below), whose sum is σ = 245200320. Its totient is φ = 27098064.

The previous prime is 100117877. The next prime is 100117903. The reversal of 100117878 is 878711001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100117877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3376 + ... + 14547.

It is an arithmetic number, because the mean of its divisors is an integer number (5108340).

Almost surely, 2^100117878 is an apocalyptic number.

100117878 is an abundant number, since it is smaller than the sum of its proper divisors (145082442).

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

100117878 is a wasteful number, since it uses less digits than its factorization.

100117878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17961 (or 17954 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 33.

The square root of 100117878 is about 10005.8921641201. The cubic root of 100117878 is about 464.3411921489.

Adding to 100117878 its reverse (878711001), we get a palindrome (978828879).

The spelling of 100117878 in words is "one hundred million, one hundred seventeen thousand, eight hundred seventy-eight".