100277112 has 64 divisors (see below), whose sum is σ = 271071360. Its totient is φ = 30729600.

The previous prime is 100277087. The next prime is 100277131. The reversal of 100277112 is 211772001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102787 + ... + 103757.

It is an arithmetic number, because the mean of its divisors is an integer number (4235490).

Almost surely, 2^100277112 is an apocalyptic number.

100277112 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 100277112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135535680).

100277112 is an abundant number, since it is smaller than the sum of its proper divisors (170794248).

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

100277112 is a wasteful number, since it uses less digits than its factorization.

100277112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 100277112 is about 10013.8460143943. The cubic root of 100277112 is about 464.5872345887.

The spelling of 100277112 in words is "one hundred million, two hundred seventy-seven thousand, one hundred twelve".