100728145 has 64 divisors (see below), whose sum is σ = 155713536. Its totient is φ = 60963840.

The previous prime is 100728113. The next prime is 100728149. The reversal of 100728145 is 541827001.

It is not a de Polignac number, because 100728145 - 2⁵ = 100728113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100728149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 793072 + ... + 793198.

It is an arithmetic number, because the mean of its divisors is an integer number (2433024).

Almost surely, 2^100728145 is an apocalyptic number.

It is an amenable number.

100728145 is a deficient number, since it is larger than the sum of its proper divisors (54985391).

100728145 is a wasteful number, since it uses less digits than its factorization.

100728145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 100728145 is about 10036.3412158017. The cubic root of 100728145 is about 465.2827432164.

The spelling of 100728145 in words is "one hundred million, seven hundred twenty-eight thousand, one hundred forty-five".