100065123 has 12 divisors (see below), whose sum is σ = 144668160. Its totient is φ = 66650256.

The previous prime is 100065107. The next prime is 100065137. The reversal of 100065123 is 321560001.

100065123 is a `hidden beast` number, since 10 + 0 + 0 + 651 + 2 + 3 = 666.

It is not a de Polignac number, because 100065123 - 2⁴ = 100065107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100065096 and 100065105.

It is not an unprimeable number, because it can be changed into a prime (100065023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7165 + ... + 15857.

It is an arithmetic number, because the mean of its divisors is an integer number (12055680).

Almost surely, 2^100065123 is an apocalyptic number.

100065123 is a deficient number, since it is larger than the sum of its proper divisors (44603037).

100065123 is a wasteful number, since it uses less digits than its factorization.

100065123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100065123 is about 10003.2556200469. The cubic root of 100065123 is about 464.2596195602.

It can be divided in two parts, 10006 and 5123, that added together give a square (15129 = 123²).

The spelling of 100065123 in words is "one hundred million, sixty-five thousand, one hundred twenty-three".