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106113441 = 3797113461
BaseRepresentation
bin1100101001100…
…10100110100001
321101200010021110
412110302212201
5204131112231
614310213533
72425643430
oct624624641
9241603243
10106113441
1154997665
122b6542a9
1318ca4325
1410143117
1594b1046
hex65329a1

106113441 has 32 divisors (see below), whose sum is σ = 165166848. Its totient is φ = 59351040.

The previous prime is 106113433. The next prime is 106113443. The reversal of 106113441 is 144311601.

It is not a de Polignac number, because 106113441 - 23 = 106113433 is a prime.

It is a super-2 number, since 2×1061134412 = 22520124721720962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (106113443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229951 + ... + 230411.

It is an arithmetic number, because the mean of its divisors is an integer number (5161464).

Almost surely, 2106113441 is an apocalyptic number.

It is an amenable number.

106113441 is a deficient number, since it is larger than the sum of its proper divisors (59053407).

106113441 is a wasteful number, since it uses less digits than its factorization.

106113441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106113441 is about 10301.1378497717. The cubic root of 106113441 is about 473.4311170833.

The spelling of 106113441 in words is "one hundred six million, one hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 7 21 97 113 291 339 461 679 791 1383 2037 2373 3227 9681 10961 32883 44717 52093 76727 134151 156279 230181 313019 364651 939057 1093953 5053021 15159063 35371147 106113441