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106025077347 = 37376719110663
BaseRepresentation
bin110001010111110010…
…1100100101001100011
3101010200001212222120120
41202233211210221203
53214114404433342
6120412433211323
710442254200450
oct1425745445143
9333601788516
10106025077347
1140a68434972
121866b700b43
139cc8b48977
1451bb31a827
152b58177aec
hex18af964a63

106025077347 has 64 divisors (see below), whose sum is σ = 169302687744. Its totient is φ = 57759039360.

The previous prime is 106025077343. The next prime is 106025077441. The reversal of 106025077347 is 743770520601.

It is not a de Polignac number, because 106025077347 - 22 = 106025077343 is a prime.

It is a super-2 number, since 2×1060250773472 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106025077299 and 106025077308.

It is not an unprimeable number, because it can be changed into a prime (106025077343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9937938 + ... + 9948600.

It is an arithmetic number, because the mean of its divisors is an integer number (2645354496).

Almost surely, 2106025077347 is an apocalyptic number.

106025077347 is a deficient number, since it is larger than the sum of its proper divisors (63277610397).

106025077347 is a wasteful number, since it uses less digits than its factorization.

106025077347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968.

The product of its (nonzero) digits is 246960, while the sum is 42.

Adding to 106025077347 its reverse (743770520601), we get a palindrome (849795597948).

The spelling of 106025077347 in words is "one hundred six billion, twenty-five million, seventy-seven thousand, three hundred forty-seven".

Divisors: 1 3 7 21 37 67 111 191 201 259 469 573 777 1337 1407 2479 4011 7067 7437 10663 12797 17353 21201 31989 38391 49469 52059 74641 89579 148407 223923 268737 394531 473489 714421 1183593 1420467 2036633 2143263 2761717 3314423 5000947 6109899 8285151 9943269 14256431 15002841 26433577 42769293 75355421 79300731 136454411 185035039 226066263 409363233 527487947 555105117 955180877 1582463841 2865542631 5048813207 15146439621 35341692449 106025077347