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106003601 = 1131310861
BaseRepresentation
bin1100101000101…
…11110010010001
321101110112121022
412110113302101
5204114103401
614304005225
72425005254
oct624276221
9241415538
10106003601
1154922090
122b600815
1318c66332
141011509b
15948d71b
hex6517c91

106003601 has 8 divisors (see below), whose sum is σ = 119371008. Its totient is φ = 93258000.

The previous prime is 106003577. The next prime is 106003607. The reversal of 106003601 is 106300601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106003601 - 26 = 106003537 is a prime.

It is a super-2 number, since 2×1060036012 = 22473526849934402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106003601.

It is not an unprimeable number, because it can be changed into a prime (106003607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155090 + ... + 155771.

It is an arithmetic number, because the mean of its divisors is an integer number (14921376).

Almost surely, 2106003601 is an apocalyptic number.

106003601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106003601 is a deficient number, since it is larger than the sum of its proper divisors (13367407).

106003601 is a wasteful number, since it uses less digits than its factorization.

106003601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310903.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 106003601 is about 10295.8050195213. The cubic root of 106003601 is about 473.2677082309.

The spelling of 106003601 in words is "one hundred six million, three thousand, six hundred one".

Divisors: 1 11 31 341 310861 3419471 9636691 106003601