100014912 has 168 divisors, whose sum is σ = 305104800. Its totient is φ = 32472576.

The previous prime is 100014911. The next prime is 100014923. The reversal of 100014912 is 219410001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100014911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917514 + ... + 917622.

It is an arithmetic number, because the mean of its divisors is an integer number (1816100).

Almost surely, 2^100014912 is an apocalyptic number.

100014912 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 100014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152552400).

100014912 is an abundant number, since it is smaller than the sum of its proper divisors (205089888).

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

100014912 is an equidigital number, since it uses as much as digits as its factorization.

100014912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 100014912 is about 10000.7455722061. The cubic root of 100014912 is about 464.1819540054.

Adding to 100014912 its reverse (219410001), we get a palindrome (319424913).

The spelling of 100014912 in words is "one hundred million, fourteen thousand, nine hundred twelve".