100073067 has 16 divisors (see below), whose sum is σ = 141489792. Its totient is φ = 62697600.

The previous prime is 100073059. The next prime is 100073089. The reversal of 100073067 is 760370001.

It is not a de Polignac number, because 100073067 - 2³ = 100073059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100073167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52668 + ... + 54534.

It is an arithmetic number, because the mean of its divisors is an integer number (8843112).

Almost surely, 2^100073067 is an apocalyptic number.

100073067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100073067 is a deficient number, since it is larger than the sum of its proper divisors (41416725).

100073067 is a wasteful number, since it uses less digits than its factorization.

100073067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 100073067 is about 10003.6526828954. The cubic root of 100073067 is about 464.2719048290.

The spelling of 100073067 in words is "one hundred million, seventy-three thousand, sixty-seven".