105535125007 has 8 divisors (see below), whose sum is σ = 113720208336. Its totient is φ = 97359612672.

The previous prime is 105535124941. The next prime is 105535125011. The reversal of 105535125007 is 700521535501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105535125007 - 2¹⁵ = 105535092239 is a prime.

It is a super-2 number, since 2×105535125007² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535135007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2369833 + ... + 2413954.

It is an arithmetic number, because the mean of its divisors is an integer number (14215026042).

Almost surely, 2^105535125007 is an apocalyptic number.

105535125007 is a deficient number, since it is larger than the sum of its proper divisors (8185083329).

105535125007 is a wasteful number, since it uses less digits than its factorization.

105535125007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785497.

The product of its (nonzero) digits is 26250, while the sum is 34.

The spelling of 105535125007 in words is "one hundred five billion, five hundred thirty-five million, one hundred twenty-five thousand, seven".