100688112 has 240 divisors, whose sum is σ = 347263488. Its totient is φ = 26611200.

The previous prime is 100688111. The next prime is 100688123. The reversal of 100688112 is 211886001.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100688111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996862 + ... + 996962.

Almost surely, 2^100688112 is an apocalyptic number.

100688112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100688112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744).

100688112 is an abundant number, since it is smaller than the sum of its proper divisors (246575376).

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

100688112 is a wasteful number, since it uses less digits than its factorization.

100688112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 100688112 is about 10034.3466155002. The cubic root of 100688112 is about 465.2210949974.

The spelling of 100688112 in words is "one hundred million, six hundred eighty-eight thousand, one hundred twelve".