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105371441 = 7238092
BaseRepresentation
bin1100100011111…
…01011100110001
321100021102102222
412101331130301
5203433341231
614242250425
72416433240
oct621753461
9240242388
10105371441
115453013a
122b356a15
1318aa4686
14ddcc957
1593b627b
hex647d731

105371441 has 12 divisors (see below), whose sum is σ = 125815872. Its totient is φ = 86284704.

The previous prime is 105371429. The next prime is 105371443. The reversal of 105371441 is 144173501.

It is a de Polignac number, because none of the positive numbers 2k-105371441 is a prime.

It is a super-2 number, since 2×1053714412 = 22206281156832962, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105371441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105371443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129845 + ... + 130653.

It is an arithmetic number, because the mean of its divisors is an integer number (10484656).

Almost surely, 2105371441 is an apocalyptic number.

It is an amenable number.

105371441 is a deficient number, since it is larger than the sum of its proper divisors (20444431).

105371441 is an frugal number, since it uses more digits than its factorization.

105371441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 105371441 is about 10265.0592302237. The cubic root of 105371441 is about 472.3250433316.

The spelling of 105371441 in words is "one hundred five million, three hundred seventy-one thousand, four hundred forty-one".

Divisors: 1 7 23 161 809 5663 18607 130249 654481 4581367 15053063 105371441