105371101 has 8 divisors (see below), whose sum is σ = 116666784. Its totient is φ = 94361520.

The previous prime is 105371099. The next prime is 105371143. The reversal of 105371101 is 101173501.

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

It is not a de Polignac number, because 105371101 - 2¹ = 105371099 is a prime.

It is a super-2 number, since 2×105371101² = 22206137851904402, which 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 (105378101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70750 + ... + 72223.

It is an arithmetic number, because the mean of its divisors is an integer number (14583348).

Almost surely, 2^105371101 is an apocalyptic number.

105371101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105371101 is a deficient number, since it is larger than the sum of its proper divisors (11295683).

105371101 is a wasteful number, since it uses less digits than its factorization.

105371101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143051.

The product of its (nonzero) digits is 105, while the sum is 19.

The square root of 105371101 is about 10265.0426691758. The cubic root of 105371101 is about 472.3245353170.

The spelling of 105371101 in words is "one hundred five million, three hundred seventy-one thousand, one hundred one".