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106173645 = 3522331741
BaseRepresentation
bin1100101010000…
…01010011001101
321101210011212020
412111001103031
5204140024040
614311400353
72426314104
oct625012315
9241704766
10106173645
1154a28916
122b6830b9
1318cc5856
141015b03b
1594c3cd0
hex65414cd

106173645 has 16 divisors (see below), whose sum is σ = 170644992. Its totient is φ = 56370240.

The previous prime is 106173643. The next prime is 106173647. The reversal of 106173645 is 546371601.

It is an interprime number because it is at equal distance from previous prime (106173643) and next prime (106173647).

It is not a de Polignac number, because 106173645 - 21 = 106173643 is a prime.

It is a super-3 number, since 3×1061736453 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106173643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12526 + ... + 19215.

It is an arithmetic number, because the mean of its divisors is an integer number (10665312).

Almost surely, 2106173645 is an apocalyptic number.

106173645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106173645 is a deficient number, since it is larger than the sum of its proper divisors (64471347).

106173645 is a wasteful number, since it uses less digits than its factorization.

106173645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31972.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106173645 is about 10304.0596368616. The cubic root of 106173645 is about 473.5206346727.

The spelling of 106173645 in words is "one hundred six million, one hundred seventy-three thousand, six hundred forty-five".

Divisors: 1 3 5 15 223 669 1115 3345 31741 95223 158705 476115 7078243 21234729 35391215 106173645