100493568 has 288 divisors, whose sum is σ = 355819520. Its totient is φ = 27371520.

The previous prime is 100493557. The next prime is 100493573. The reversal of 100493568 is 865394001.

100493568 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 93 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499871 + ... + 1499937.

Almost surely, 2^100493568 is an apocalyptic number.

100493568 is a gapful number since it is divisible by the number (18) 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 100493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177909760).

100493568 is an abundant number, since it is smaller than the sum of its proper divisors (255325952).

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

100493568 is an equidigital number, since it uses as much as digits as its factorization.

100493568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 100493568 is about 10024.6480237463. The cubic root of 100493568 is about 464.9212769958.

The spelling of 100493568 in words is "one hundred million, four hundred ninety-three thousand, five hundred sixty-eight".