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106013336 = 23111392669
BaseRepresentation
bin1100101000110…
…10001010011000
321101111000221212
412110122022120
5204114411321
614304122252
72425045532
oct624321230
9241430855
10106013336
1154929430
122b606388
1318c6a8b0
1410118852
15949155b
hex651a298

106013336 has 32 divisors (see below), whose sum is σ = 233528400. Its totient is φ = 44480640.

The previous prime is 106013333. The next prime is 106013381. The reversal of 106013336 is 633310601.

It is a super-2 number, since 2×1060133362 = 22477654819697792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106013333) by changing a digit.

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, 45191 + ... + 47478.

Almost surely, 2106013336 is an apocalyptic number.

It is an amenable number.

106013336 is an abundant number, since it is smaller than the sum of its proper divisors (127515064).

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

106013336 is a wasteful number, since it uses less digits than its factorization.

106013336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92699 (or 92695 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 106013336 is about 10296.2777740308. The cubic root of 106013336 is about 473.2821955378.

Adding to 106013336 its reverse (633310601), we get a palindrome (739323937).

The spelling of 106013336 in words is "one hundred six million, thirteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 92669 185338 370676 741352 1019359 1204697 2038718 2409394 4077436 4818788 8154872 9637576 13251667 26503334 53006668 106013336