100760384 has 42 divisors (see below), whose sum is σ = 207732630. Its totient is φ = 48434176.

The previous prime is 100760381. The next prime is 100760393. The reversal of 100760384 is 483067001.

It can be written as a sum of positive squares in 3 ways, for example, as 760384 + 100000000 = 872^2 + 10000^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100760381) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 432332 + ... + 432564.

It is an arithmetic number, because the mean of its divisors is an integer number (4946015).

Almost surely, 2^100760384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100760384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103866315).

100760384 is an abundant number, since it is smaller than the sum of its proper divisors (106972246).

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

100760384 is an frugal number, since it uses more digits than its factorization.

100760384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 100760384 is about 10037.9472004987. The cubic root of 100760384 is about 465.3323773093.

Multiplying 100760384 by its sum of digits (29), we get a square (2922051136 = 54056²).

100760384 divided by its sum of digits (29) gives a square (3474496 = 1864²).

It can be divided in two parts, 100 and 760384, that multiplied together give a square (76038400 = 8720²).

The spelling of 100760384 in words is "one hundred million, seven hundred sixty thousand, three hundred eighty-four".