105051660135 has 64 divisors (see below), whose sum is σ = 175115520000. Its totient is φ = 53733888000.

The previous prime is 105051660127. The next prime is 105051660139. The reversal of 105051660135 is 531066150501.

It is not a de Polignac number, because 105051660135 - 2³ = 105051660127 is a prime.

It is a super-2 number, since 2×105051660135² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105051660096 and 105051660105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105051660139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46667760 + ... + 46670010.

It is an arithmetic number, because the mean of its divisors is an integer number (2736180000).

Almost surely, 2^105051660135 is an apocalyptic number.

105051660135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105051660135 is a deficient number, since it is larger than the sum of its proper divisors (70063859865).

105051660135 is a wasteful number, since it uses less digits than its factorization.

105051660135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608.

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 105051660135 in words is "one hundred five billion, fifty-one million, six hundred sixty thousand, one hundred thirty-five".