100529712 has 60 divisors (see below), whose sum is σ = 284937120. Its totient is φ = 33081984.

The previous prime is 100529707. The next prime is 100529713. The reversal of 100529712 is 217925001.

It is not an unprimeable number, because it can be changed into a prime (100529713) 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 11 ways as a sum of consecutive naturals, for example, 6958 + ... + 15794.

It is an arithmetic number, because the mean of its divisors is an integer number (4748952).

Almost surely, 2^100529712 is an apocalyptic number.

100529712 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 100529712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142468560).

100529712 is an abundant number, since it is smaller than the sum of its proper divisors (184407408).

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

100529712 is a wasteful number, since it uses less digits than its factorization.

100529712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8930 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 100529712 is about 10026.4506182397. The cubic root of 100529712 is about 464.9770089222.

The spelling of 100529712 in words is "one hundred million, five hundred twenty-nine thousand, seven hundred twelve".