105515971 has 16 divisors (see below), whose sum is σ = 122047488. Its totient is φ = 90309600.

The previous prime is 105515953. The next prime is 105515983. The reversal of 105515971 is 179515501.

It is a happy number.

It is not a de Polignac number, because 105515971 - 2⁵ = 105515939 is a prime.

It is a super-2 number, since 2×105515971² = 22267240272145682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105515471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8436 + ... + 16798.

It is an arithmetic number, because the mean of its divisors is an integer number (7627968).

Almost surely, 2^105515971 is an apocalyptic number.

105515971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105515971 is a deficient number, since it is larger than the sum of its proper divisors (16531517).

105515971 is a wasteful number, since it uses less digits than its factorization.

105515971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442.

The product of its (nonzero) digits is 7875, while the sum is 34.

The square root of 105515971 is about 10272.0967187814. The cubic root of 105515971 is about 472.5408954647.

The spelling of 105515971 in words is "one hundred five million, five hundred fifteen thousand, nine hundred seventy-one".