105653751742 has 96 divisors (see below), whose sum is σ = 207564166656. Its totient is φ = 39446447040.

The previous prime is 105653751703. The next prime is 105653751743. The reversal of 105653751742 is 247157356501.

It is a super-2 number, since 2×105653751742² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105653751692 and 105653751701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105653751743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3846943 + ... + 3874309.

It is an arithmetic number, because the mean of its divisors is an integer number (2162126736).

Almost surely, 2^105653751742 is an apocalyptic number.

105653751742 is a deficient number, since it is larger than the sum of its proper divisors (101910414914).

105653751742 is a wasteful number, since it uses less digits than its factorization.

105653751742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27494 (or 27483 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

It can be divided in two parts, 105653 and 751742, that added together give a triangular number (857395 = T₁₃₀₉).

The spelling of 105653751742 in words is "one hundred five billion, six hundred fifty-three million, seven hundred fifty-one thousand, seven hundred forty-two".