105369589601 has 8 divisors (see below), whose sum is σ = 111599822304. Its totient is φ = 99142914880.

The previous prime is 105369589579. The next prime is 105369589607. The reversal of 105369589601 is 106985963501.

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 105369589601 - 2⁶ = 105369589537 is a prime.

It is a super-2 number, since 2×105369589601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105369589607) 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, 828395 + ... + 947088.

It is an arithmetic number, because the mean of its divisors is an integer number (13949977788).

Almost surely, 2^105369589601 is an apocalyptic number.

It is an amenable number.

105369589601 is a deficient number, since it is larger than the sum of its proper divisors (6230232703).

105369589601 is a wasteful number, since it uses less digits than its factorization.

105369589601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778991.

The product of its (nonzero) digits is 1749600, while the sum is 53.

The spelling of 105369589601 in words is "one hundred five billion, three hundred sixty-nine million, five hundred eighty-nine thousand, six hundred one".