105265941640 has 16 divisors (see below), whose sum is σ = 236848368780. Its totient is φ = 42106376640.

The previous prime is 105265941637. The next prime is 105265941643. The reversal of 105265941640 is 46149562501.

It is an interprime number because it is at equal distance from previous prime (105265941637) and next prime (105265941643).

It can be written as a sum of positive squares in 2 ways, for example, as 85417076644 + 19848864996 = 292262^2 + 140886^2 .

It is a super-2 number, since 2×105265941640² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105265941643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1315824231 + ... + 1315824310.

Almost surely, 2^105265941640 is an apocalyptic number.

105265941640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105265941640 is an abundant number, since it is smaller than the sum of its proper divisors (131582427140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105265941640 is a wasteful number, since it uses less digits than its factorization.

105265941640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631648552 (or 2631648548 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 105265941640 in words is "one hundred five billion, two hundred sixty-five million, nine hundred forty-one thousand, six hundred forty".