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106497235383 = 37211371780027
BaseRepresentation
bin110001100101110111…
…0101101100110110111
3101011212222100002122020
41203023232231212313
53221101243013013
6120531341204223
710460046364500
oct1431356554667
9334788302566
10106497235383
114118aa05220
1218781860673
13a072903116
145223d05ba7
152b84841623
hex18cbbad9b7

106497235383 has 48 divisors (see below), whose sum is σ = 185065951104. Its totient is φ = 53827986240.

The previous prime is 106497235367. The next prime is 106497235387. The reversal of 106497235383 is 383532794601.

It is not a de Polignac number, because 106497235383 - 24 = 106497235367 is a prime.

It is a super-2 number, since 2×1064972353832 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106497235387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830185 + ... + 949842.

It is an arithmetic number, because the mean of its divisors is an integer number (3855540648).

It is a 1-persistent number, because it is pandigital, but 2⋅106497235383 = 212994470766 is not.

Almost surely, 2106497235383 is an apocalyptic number.

106497235383 is a deficient number, since it is larger than the sum of its proper divisors (78568715721).

106497235383 is a wasteful number, since it uses less digits than its factorization.

106497235383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780092 (or 1780085 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 106497235383 in words is "one hundred six billion, four hundred ninety-seven million, two hundred thirty-five thousand, three hundred eighty-three".

Divisors: 1 3 7 11 21 33 37 49 77 111 147 231 259 407 539 777 1221 1617 1813 2849 5439 8547 19943 59829 1780027 5340081 12460189 19580297 37380567 58740891 65860999 87221323 137062079 197582997 261663969 411186237 461026993 724470989 959434553 1383080979 2173412967 2878303659 3227188951 5071296923 9681566853 15213890769 35499078461 106497235383