105601101005602 has 8 divisors (see below), whose sum is σ = 158401788835356. Its totient is φ = 52800504727152.

The previous prime is 105601101005527. The next prime is 105601101005683. The reversal of 105601101005602 is 206500101106501.

It is a happy number.

105601101005602 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 104062828852161 + 1538272153441 = 10201119^2 + 1240271^2 .

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

It is a super-2 number, since 2×105601101005602² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19927593 + ... + 24663964.

Almost surely, 2^{105601101005602} is an apocalyptic number.

105601101005602 is a deficient number, since it is larger than the sum of its proper divisors (52800687829754).

105601101005602 is a wasteful number, since it uses less digits than its factorization.

105601101005602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45775652.

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 105601101005602 in words is "one hundred five trillion, six hundred one billion, one hundred one million, five thousand, six hundred two".