105101342330 has 32 divisors (see below), whose sum is σ = 190327568400. Its totient is φ = 41786191872.

The previous prime is 105101342299. The next prime is 105101342341. The reversal of 105101342330 is 33243101501.

It can be written as a sum of positive squares in 8 ways, for example, as 37683739129 + 67417603201 = 194123^2 + 259649^2 .

It is a super-2 number, since 2×105101342330² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105101342296 and 105101342305.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9628916 + ... + 9639824.

Almost surely, 2^105101342330 is an apocalyptic number.

105101342330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105101342330 is a deficient number, since it is larger than the sum of its proper divisors (85226226070).

105101342330 is a wasteful number, since it uses less digits than its factorization.

105101342330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16658.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 105101342330 its reverse (33243101501), we get a palindrome (138344443831).

The spelling of 105101342330 in words is "one hundred five billion, one hundred one million, three hundred forty-two thousand, three hundred thirty".