105939497301 has 16 divisors (see below), whose sum is σ = 154102417920. Its totient is φ = 64202171120.

The previous prime is 105939497299. The next prime is 105939497303. The reversal of 105939497301 is 103794939501.

It is an interprime number because it is at equal distance from previous prime (105939497299) and next prime (105939497303).

It is a cyclic number.

It is not a de Polignac number, because 105939497301 - 2¹ = 105939497299 is a prime.

It is a super-2 number, since 2×105939497301² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105939497303) 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 15 ways as a sum of consecutive naturals, for example, 586510 + ... + 745568.

It is an arithmetic number, because the mean of its divisors is an integer number (9631401120).

Almost surely, 2^105939497301 is an apocalyptic number.

105939497301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105939497301 is a deficient number, since it is larger than the sum of its proper divisors (48162920619).

105939497301 is a wasteful number, since it uses less digits than its factorization.

105939497301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179256.

The product of its (nonzero) digits is 918540, while the sum is 51.

The spelling of 105939497301 in words is "one hundred five billion, nine hundred thirty-nine million, four hundred ninety-seven thousand, three hundred one".