100029312 has 96 divisors (see below), whose sum is σ = 297236160. Its totient is φ = 32256000.

The previous prime is 100029287. The next prime is 100029329. The reversal of 100029312 is 213920001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34312 + ... + 37112.

It is an arithmetic number, because the mean of its divisors is an integer number (3096210).

Almost surely, 2^100029312 is an apocalyptic number.

100029312 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 100029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148618080).

100029312 is an abundant number, since it is smaller than the sum of its proper divisors (197206848).

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

100029312 is a wasteful number, since it uses less digits than its factorization.

100029312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100029312 is about 10001.4654926166. The cubic root of 100029312 is about 464.2042303482.

Adding to 100029312 its reverse (213920001), we get a palindrome (313949313).

The spelling of 100029312 in words is "one hundred million, twenty-nine thousand, three hundred twelve".