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106477637 = 722173013
BaseRepresentation
bin1100101100010…
…11100001000101
321102100121212012
412112023201011
5204224241022
614322104005
72432021300
oct626134105
9242317765
10106477637
1155116252
122b7ab005
13190a1026
14101d9b37
159533de2
hex658b845

106477637 has 6 divisors (see below), whose sum is σ = 123861798. Its totient is φ = 91266504.

The previous prime is 106477627. The next prime is 106477639. The reversal of 106477637 is 736774601.

It can be written as a sum of positive squares in only one way, i.e., 63457156 + 43020481 = 7966^2 + 6559^2 .

It is not a de Polignac number, because 106477637 - 24 = 106477621 is a prime.

It is a super-2 number, since 2×1064776372 = 22674974362207538, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106477594 and 106477603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106477639) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1086458 + ... + 1086555.

It is an arithmetic number, because the mean of its divisors is an integer number (20643633).

Almost surely, 2106477637 is an apocalyptic number.

It is an amenable number.

106477637 is a deficient number, since it is larger than the sum of its proper divisors (17384161).

106477637 is an equidigital number, since it uses as much as digits as its factorization.

106477637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173027 (or 2173020 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 41.

The square root of 106477637 is about 10318.8001725007. The cubic root of 106477637 is about 473.9721256315.

The spelling of 106477637 in words is "one hundred six million, four hundred seventy-seven thousand, six hundred thirty-seven".

Divisors: 1 7 49 2173013 15211091 106477637