100749312 has 104 divisors (see below), whose sum is σ = 298807680. Its totient is φ = 33546240.

The previous prime is 100749283. The next prime is 100749353. The reversal of 100749312 is 213947001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110137 + ... + 111047.

Almost surely, 2^100749312 is an apocalyptic number.

100749312 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 100749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149403840).

100749312 is an abundant number, since it is smaller than the sum of its proper divisors (198058368).

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

100749312 is an frugal number, since it uses more digits than its factorization.

100749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100749312 is about 10037.3956781627. The cubic root of 100749312 is about 465.3153324199.

The spelling of 100749312 in words is "one hundred million, seven hundred forty-nine thousand, three hundred twelve".