101805123 has 16 divisors (see below), whose sum is σ = 158740736. Its totient is φ = 56820960.

The previous prime is 101805113. The next prime is 101805139. The reversal of 101805123 is 321508101.

It is not a de Polignac number, because 101805123 - 2⁹ = 101804611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101805123.

It is not an unprimeable number, because it can be changed into a prime (101805113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55468 + ... + 57273.

It is an arithmetic number, because the mean of its divisors is an integer number (9921296).

Almost surely, 2^101805123 is an apocalyptic number.

101805123 is a deficient number, since it is larger than the sum of its proper divisors (56935613).

101805123 is a wasteful number, since it uses less digits than its factorization.

101805123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112794.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 101805123 is about 10089.8524766222. The cubic root of 101805123 is about 466.9351245038.

The spelling of 101805123 in words is "one hundred one million, eight hundred five thousand, one hundred twenty-three".