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106076372547 = 3616779971129
BaseRepresentation
bin110001011001010100…
…1001111111001000011
3101010210122102001100210
41202302221033321003
53214221022410142
6120421504445203
710443446201235
oct1426251177103
9333718361323
10106076372547
1140a9438a7a2
1218684919803
13a006668762
1451c4070255
152b5c90b49c
hex18b2a4fe43

106076372547 has 64 divisors (see below), whose sum is σ = 149401548800. Its totient is φ = 66895994880.

The previous prime is 106076372543. The next prime is 106076372551. The reversal of 106076372547 is 745273670601.

It is an interprime number because it is at equal distance from previous prime (106076372543) and next prime (106076372551).

It is not a de Polignac number, because 106076372547 - 22 = 106076372543 is a prime.

It is a super-2 number, since 2×1060763725472 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106076372496 and 106076372505.

It is not an unprimeable number, because it can be changed into a prime (106076372543) 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, 93955479 + ... + 93956607.

It is an arithmetic number, because the mean of its divisors is an integer number (2334399200).

Almost surely, 2106076372547 is an apocalyptic number.

106076372547 is a deficient number, since it is larger than the sum of its proper divisors (43325176253).

106076372547 is a wasteful number, since it uses less digits than its factorization.

106076372547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436.

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 106076372547 in words is "one hundred six billion, seventy-six million, three hundred seventy-two thousand, five hundred forty-seven".

Divisors: 1 3 61 67 79 97 183 201 237 291 1129 3387 4087 4819 5293 5917 6499 7663 12261 14457 15879 17751 19497 22989 68869 75643 89191 109513 206607 226929 267573 322873 328539 396439 467443 513421 968619 1189317 1402329 1540263 4614223 5440651 5975797 6680293 7337371 8651527 13842669 16321953 17927391 20040879 22012113 25954581 31318681 93956043 364523617 447579631 527743147 579652309 1093570851 1342738893 1583229441 1738956927 35358790849 106076372547