105550150599971 has 32 divisors (see below), whose sum is σ = 142989466091520. Its totient is φ = 75404601194400.

The previous prime is 105550150599953. The next prime is 105550150599977. The reversal of 105550150599971 is 179995051055501.

It is a cyclic number.

It is not a de Polignac number, because 105550150599971 - 2³⁴ = 105532970730787 is a prime.

It is a super-2 number, since 2×105550150599971² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105550150599977) 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, 1163605901 + ... + 1163696606.

It is an arithmetic number, because the mean of its divisors is an integer number (4468420815360).

Almost surely, 2^{105550150599971} is an apocalyptic number.

105550150599971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105550150599971 is a deficient number, since it is larger than the sum of its proper divisors (37439315491549).

105550150599971 is a wasteful number, since it uses less digits than its factorization.

105550150599971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327302575.

The product of its (nonzero) digits is 15946875, while the sum is 62.

The spelling of 105550150599971 in words is "one hundred five trillion, five hundred fifty billion, one hundred fifty million, five hundred ninety-nine thousand, nine hundred seventy-one".