100272761303 has 32 divisors (see below), whose sum is σ = 118337792832. Its totient is φ = 83763763200.

The previous prime is 100272761263. The next prime is 100272761311. The reversal of 100272761303 is 303167272001.

It is not a de Polignac number, because 100272761303 - 2²⁰ = 100271712727 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100272761303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100272761333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53534975 + ... + 53536847.

It is an arithmetic number, because the mean of its divisors is an integer number (3698056026).

Almost surely, 2^100272761303 is an apocalyptic number.

100272761303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100272761303 is a deficient number, since it is larger than the sum of its proper divisors (18065031529).

100272761303 is a wasteful number, since it uses less digits than its factorization.

100272761303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395.

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 100272761303 in words is "one hundred billion, two hundred seventy-two million, seven hundred sixty-one thousand, three hundred three".