100687158 has 192 divisors, whose sum is σ = 284601600. Its totient is φ = 26058240.

The previous prime is 100687157. The next prime is 100687189. The reversal of 100687158 is 851786001.

It is a super-2 number, since 2×100687158² = 20275807572233928, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100687151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1706533 + ... + 1706591.

It is an arithmetic number, because the mean of its divisors is an integer number (1482300).

Almost surely, 2^100687158 is an apocalyptic number.

100687158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100687158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142300800).

100687158 is an abundant number, since it is smaller than the sum of its proper divisors (183914442).

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

100687158 is a wasteful number, since it uses less digits than its factorization.

100687158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 100687158 is about 10034.2990786602. The cubic root of 100687158 is about 465.2196257000.

The spelling of 100687158 in words is "one hundred million, six hundred eighty-seven thousand, one hundred fifty-eight".