100103727401 has 32 divisors (see below), whose sum is σ = 111341187360. Its totient is φ = 89565364224.

The previous prime is 100103727397. The next prime is 100103727403. The reversal of 100103727401 is 104727301001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2603040400 + 97500687001 = 51020^2 + 312251^2 .

It is a cyclic number.

It is not a de Polignac number, because 100103727401 - 2² = 100103727397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100103727403) 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 31 ways as a sum of consecutive naturals, for example, 24218531 + ... + 24222663.

It is an arithmetic number, because the mean of its divisors is an integer number (3479412105).

Almost surely, 2^100103727401 is an apocalyptic number.

It is an amenable number.

100103727401 is a deficient number, since it is larger than the sum of its proper divisors (11237459959).

100103727401 is a wasteful number, since it uses less digits than its factorization.

100103727401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925.

The product of its (nonzero) digits is 1176, while the sum is 26.

The spelling of 100103727401 in words is "one hundred billion, one hundred three million, seven hundred twenty-seven thousand, four hundred one".