105542169701 has 32 divisors (see below), whose sum is σ = 116016074496. Its totient is φ = 95705280000.

The previous prime is 105542169659. The next prime is 105542169721. The reversal of 105542169701 is 107961245501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105542169701 - 2²⁶ = 105475060837 is a prime.

It is a super-2 number, since 2×105542169701² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105542169721) 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, 37017926 + ... + 37020776.

It is an arithmetic number, because the mean of its divisors is an integer number (3625502328).

Almost surely, 2^105542169701 is an apocalyptic number.

It is an amenable number.

105542169701 is a deficient number, since it is larger than the sum of its proper divisors (10473904795).

105542169701 is a wasteful number, since it uses less digits than its factorization.

105542169701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013.

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 105542169701 in words is "one hundred five billion, five hundred forty-two million, one hundred sixty-nine thousand, seven hundred one".