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105236413 = 3171137349
BaseRepresentation
bin1100100010111…
…00011110111101
321100000120012221
412101130132331
5203420031123
614235325341
72415331462
oct621343675
9240016187
10105236413
1154448747
122b2b0851
1318a58089
14dd95669
15938b25d
hex645c7bd

105236413 has 16 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 99388800.

The previous prime is 105236401. The next prime is 105236423. The reversal of 105236413 is 314632501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105236413 is a prime.

It is a super-2 number, since 2×1052364132 = 22149405242213138, 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 (105236423) 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, 301363 + ... + 301711.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200).

Almost surely, 2105236413 is an apocalyptic number.

It is an amenable number.

105236413 is a deficient number, since it is larger than the sum of its proper divisors (6046787).

105236413 is a wasteful number, since it uses less digits than its factorization.

105236413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 105236413 is about 10258.4800531073. The cubic root of 105236413 is about 472.1232037974.

Adding to 105236413 its reverse (314632501), we get a palindrome (419868914).

The spelling of 105236413 in words is "one hundred five million, two hundred thirty-six thousand, four hundred thirteen".

Divisors: 1 31 71 137 349 2201 4247 9727 10819 24779 47813 301537 768149 1482203 3394723 105236413