105061160501 has 8 divisors (see below), whose sum is σ = 115724915904. Its totient is φ = 94582861920.

The previous prime is 105061160461. The next prime is 105061160509.

105061160501 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105061160501 is a prime.

It is a super-2 number, since 2×105061160501² (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 (105061160509) 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, 46363016 + ... + 46365281.

It is an arithmetic number, because the mean of its divisors is an integer number (14465614488).

Almost surely, 2^105061160501 is an apocalyptic number.

105061160501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105061160501 is a deficient number, since it is larger than the sum of its proper divisors (10663755403).

105061160501 is a wasteful number, since it uses less digits than its factorization.

105061160501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92728411.

The product of its (nonzero) digits is 900, while the sum is 26.

It can be divided in two parts, 105061 and 160501, that added together give a palindrome (265562).

The spelling of 105061160501 in words is "one hundred five billion, sixty-one million, one hundred sixty thousand, five hundred one".