100073493 has 24 divisors (see below), whose sum is σ = 159884088. Its totient is φ = 59916672.

The previous prime is 100073473. The next prime is 100073503. The reversal of 100073493 is 394370001.

100073493 is a `hidden beast` number, since 100 + 0 + 73 + 493 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213444 + 99860049 = 462^2 + 9993^2 .

It is not a de Polignac number, because 100073493 - 2⁶ = 100073429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100073423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7230 + ... + 15887.

It is an arithmetic number, because the mean of its divisors is an integer number (6661837).

Almost surely, 2^100073493 is an apocalyptic number.

100073493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100073493 is a deficient number, since it is larger than the sum of its proper divisors (59810595).

100073493 is a wasteful number, since it uses less digits than its factorization.

100073493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23173 (or 23170 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 100073493 is about 10003.6739750953. The cubic root of 100073493 is about 464.2725636129.

The spelling of 100073493 in words is "one hundred million, seventy-three thousand, four hundred ninety-three".