105072735367581 has 32 divisors (see below), whose sum is σ = 141568522260480. Its totient is φ = 69316389570624.

The previous prime is 105072735367507. The next prime is 105072735367619. The reversal of 105072735367581 is 185763537270501.

It is not a de Polignac number, because 105072735367581 - 2²¹ = 105072733270429 is a prime.

It is a super-2 number, since 2×105072735367581² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105072735367181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161813500 + ... + 162461546.

It is an arithmetic number, because the mean of its divisors is an integer number (4424016320640).

Almost surely, 2^{105072735367581} is an apocalyptic number.

It is an amenable number.

105072735367581 is a deficient number, since it is larger than the sum of its proper divisors (36495786892899).

105072735367581 is a wasteful number, since it uses less digits than its factorization.

105072735367581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649465.

The product of its (nonzero) digits is 37044000, while the sum is 60.

The spelling of 105072735367581 in words is "one hundred five trillion, seventy-two billion, seven hundred thirty-five million, three hundred sixty-seven thousand, five hundred eighty-one".