100355112 has 288 divisors, whose sum is σ = 349483680. Its totient is φ = 26593920.

The previous prime is 100355083. The next prime is 100355117. The reversal of 100355112 is 211553001.

100355112 is a `hidden beast` number, since 100 + 3 + 551 + 12 = 666.

It is a super-2 number, since 2×100355112² = 20142297009065088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100355117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5281839 + ... + 5281857.

It is an arithmetic number, because the mean of its divisors is an integer number (1213485).

Almost surely, 2^100355112 is an apocalyptic number.

100355112 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 100355112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

100355112 is an abundant number, since it is smaller than the sum of its proper divisors (249128568).

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

100355112 is a wasteful number, since it uses less digits than its factorization.

100355112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100355112 is about 10017.7398648597. The cubic root of 100355112 is about 464.7076622444.

The spelling of 100355112 in words is "one hundred million, three hundred fifty-five thousand, one hundred twelve".