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106010501607 = 3224374833379
BaseRepresentation
bin110001010111010110…
…1111110000111100111
3101010122001110110102100
41202232231332013213
53214102142022412
6120411152543143
710442016252543
oct1425655760747
9333561413370
10106010501607
1140a601899aa
1218666851ab3
139cc5b1447a
1451b9404a23
152b56c48edc
hex18aeb7e1e7

106010501607 has 12 divisors (see below), whose sum is σ = 153189145720. Its totient is φ = 70644652848.

The previous prime is 106010501587. The next prime is 106010501609. The reversal of 106010501607 is 706105010601.

106010501607 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 0 + 50 + 1 + 607 = 666.

It is not a de Polignac number, because 106010501607 - 27 = 106010501479 is a prime.

It is a super-2 number, since 2×1060105016072 (a number of 23 digits) 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 (106010501609) 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 11 ways as a sum of consecutive naturals, for example, 2394757 + ... + 2438622.

Almost surely, 2106010501607 is an apocalyptic number.

106010501607 is a deficient number, since it is larger than the sum of its proper divisors (47178644113).

106010501607 is a wasteful number, since it uses less digits than its factorization.

106010501607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835822 (or 4835819 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 106010501607 in words is "one hundred six billion, ten million, five hundred one thousand, six hundred seven".

Divisors: 1 3 9 2437 7311 21933 4833379 14500137 43500411 11778944623 35336833869 106010501607