100389744 has 240 divisors, whose sum is σ = 355310592. Its totient is φ = 25754112.

The previous prime is 100389721. The next prime is 100389767. The reversal of 100389744 is 447983001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100389721) and next prime (100389767).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100389699 and 100389708.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 615807 + ... + 615969.

Almost surely, 2^100389744 is an apocalyptic number.

100389744 is a gapful number since it is divisible by the number (14) 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 100389744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177655296).

100389744 is an abundant number, since it is smaller than the sum of its proper divisors (254920848).

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

100389744 is a wasteful number, since it uses less digits than its factorization.

100389744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 100389744 is about 10019.4682493633. The cubic root of 100389744 is about 464.7611121202.

The spelling of 100389744 in words is "one hundred million, three hundred eighty-nine thousand, seven hundred forty-four".