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106974049 = 713101103113
BaseRepresentation
bin1100110000001…
…00101101100001
321110021211210211
412120010231201
5204341132144
614340454121
72436156460
oct630045541
9243254724
10106974049
1155425206
122b9aa341
1319215c70
14102c89d7
1595d1034
hex6604b61

106974049 has 32 divisors (see below), whose sum is σ = 135442944. Its totient is φ = 82252800.

The previous prime is 106974041. The next prime is 106974059. The reversal of 106974049 is 940479601.

It is a happy number.

It is not a de Polignac number, because 106974049 - 23 = 106974041 is a prime.

It is a super-2 number, since 2×1069740492 = 22886894318908802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106974041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946617 + ... + 946729.

It is an arithmetic number, because the mean of its divisors is an integer number (4232592).

Almost surely, 2106974049 is an apocalyptic number.

It is an amenable number.

106974049 is a deficient number, since it is larger than the sum of its proper divisors (28468895).

106974049 is a wasteful number, since it uses less digits than its factorization.

106974049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 106974049 is about 10342.8259677904. The cubic root of 106974049 is about 474.7075562759.

The spelling of 106974049 in words is "one hundred six million, nine hundred seventy-four thousand, forty-nine".

Divisors: 1 7 13 91 101 103 113 707 721 791 1313 1339 1469 9191 9373 10283 10403 11413 11639 72821 79891 81473 135239 148369 151307 946673 1038583 1059149 1175539 8228773 15282007 106974049