100496112 has 80 divisors (see below), whose sum is σ = 277696512. Its totient is φ = 31206400.

The previous prime is 100496101. The next prime is 100496113. The reversal of 100496112 is 211694001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100496113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86737 + ... + 87887.

Almost surely, 2^100496112 is an apocalyptic number.

100496112 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 100496112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138848256).

100496112 is an abundant number, since it is smaller than the sum of its proper divisors (177200400).

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

100496112 is a wasteful number, since it uses less digits than its factorization.

100496112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 100496112 is about 10024.7749101913. The cubic root of 100496112 is about 464.9252001316.

It can be divided in two parts, 10049 and 6112, that added together give a palindrome (16161).

The spelling of 100496112 in words is "one hundred million, four hundred ninety-six thousand, one hundred twelve".