105056105501 has 8 divisors (see below), whose sum is σ = 105141289464. Its totient is φ = 104970956800.

The previous prime is 105056105477. The next prime is 105056105507. The reversal of 105056105501 is 105501650501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15301937401 + 89754168100 = 123701^2 + 299590^2 .

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 105056105501 - 2¹⁸ = 105055843357 is a prime.

It is a super-2 number, since 2×105056105501² (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 (105056105507) 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, 10064381 + ... + 10074813.

It is an arithmetic number, because the mean of its divisors is an integer number (13142661183).

Almost surely, 2^105056105501 is an apocalyptic number.

It is an amenable number.

105056105501 is a deficient number, since it is larger than the sum of its proper divisors (85183963).

105056105501 is a wasteful number, since it uses less digits than its factorization.

105056105501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17631.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105056105501 in words is "one hundred five billion, fifty-six million, one hundred five thousand, five hundred one".