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106155441 = 347187223
BaseRepresentation
bin1100101001111…
…00110110110001
321101202020220000
412110330312301
5204133433231
614311140213
72426210040
oct624746661
9241666800
10106155441
1154a16177
122b674669
1318cba492
1410154557
1594bd6e6
hex653cdb1

106155441 has 20 divisors (see below), whose sum is σ = 181232832. Its totient is φ = 60659928.

The previous prime is 106155431. The next prime is 106155461. The reversal of 106155441 is 144551601.

106155441 is a `hidden beast` number, since 1 + 0 + 615 + 5 + 4 + 41 = 666.

It is not a de Polignac number, because 106155441 - 214 = 106139057 is a prime.

It is a super-2 number, since 2×1061554412 = 22537955307808962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106155421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93045 + ... + 94178.

Almost surely, 2106155441 is an apocalyptic number.

It is an amenable number.

106155441 is a deficient number, since it is larger than the sum of its proper divisors (75077391).

106155441 is an equidigital number, since it uses as much as digits as its factorization.

106155441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187242 (or 187233 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 106155441 is about 10303.1762578343. The cubic root of 106155441 is about 473.4935706359.

The spelling of 106155441 in words is "one hundred six million, one hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 187223 561669 1310561 1685007 3931683 5055021 11795049 15165063 35385147 106155441