100764384 has 144 divisors (see below), whose sum is σ = 318076416. Its totient is φ = 27820800.

The previous prime is 100764373. The next prime is 100764397. The reversal of 100764384 is 483467001.

It is a super-2 number, since 2×100764384² = 20306922165798912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145479 + ... + 146169.

It is an arithmetic number, because the mean of its divisors is an integer number (2208864).

Almost surely, 2^100764384 is an apocalyptic number.

100764384 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 100764384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159038208).

100764384 is an abundant number, since it is smaller than the sum of its proper divisors (217312032).

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

100764384 is a wasteful number, since it uses less digits than its factorization.

100764384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 100764384 is about 10038.1464424464. The cubic root of 100764384 is about 465.3385348380.

The spelling of 100764384 in words is "one hundred million, seven hundred sixty-four thousand, three hundred eighty-four".