105101045401 has 16 divisors (see below), whose sum is σ = 115787385216. Its totient is φ = 95394222000.

The previous prime is 105101045381. The next prime is 105101045419. The reversal of 105101045401 is 104540101501.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-105101045401 is a prime.

It is a super-2 number, since 2×105101045401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105101045471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777291 + ... + 902431.

It is an arithmetic number, because the mean of its divisors is an integer number (7236711576).

Almost surely, 2^105101045401 is an apocalyptic number.

105101045401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105101045401 is a deficient number, since it is larger than the sum of its proper divisors (10686339815).

105101045401 is an equidigital number, since it uses as much as digits as its factorization.

105101045401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125805 (or 125783 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 105101045401 its reverse (104540101501), we get a palindrome (209641146902).

The spelling of 105101045401 in words is "one hundred five billion, one hundred one million, forty-five thousand, four hundred one".