105571136 has 56 divisors (see below), whose sum is σ = 236463840. Its totient is φ = 46323200.

The previous prime is 105571129. The next prime is 105571153. The reversal of 105571136 is 631175501.

It is a super-2 number, since 2×105571136² = 22290529512660992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 105571099 and 105571108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17831 + ... + 23001.

Almost surely, 2^105571136 is an apocalyptic number.

105571136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118231920).

105571136 is an abundant number, since it is smaller than the sum of its proper divisors (130892704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105571136 is a wasteful number, since it uses less digits than its factorization.

105571136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 105571136 is about 10274.7815548556. The cubic root of 105571136 is about 472.6232311109.

The spelling of 105571136 in words is "one hundred five million, five hundred seventy-one thousand, one hundred thirty-six".