105152401022205 has 64 divisors (see below), whose sum is σ = 173369631156480. Its totient is φ = 54391534718976.

The previous prime is 105152401022189. The next prime is 105152401022269. The reversal of 105152401022205 is 502220104251501.

It is not a de Polignac number, because 105152401022205 - 2⁴ = 105152401022189 is a prime.

It is a super-2 number, since 2×105152401022205² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150434899 + ... + 151132271.

It is an arithmetic number, because the mean of its divisors is an integer number (2708900486820).

Almost surely, 2^{105152401022205} is an apocalyptic number.

105152401022205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105152401022205 is a deficient number, since it is larger than the sum of its proper divisors (68217230134275).

105152401022205 is a wasteful number, since it uses less digits than its factorization.

105152401022205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699070.

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 105152401022205 its reverse (502220104251501), we get a palindrome (607372505273706).

The spelling of 105152401022205 in words is "one hundred five trillion, one hundred fifty-two billion, four hundred one million, twenty-two thousand, two hundred five".