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106265061 = 337717919
BaseRepresentation
bin1100101010101…
…11100111100101
321101221211021000
412111113213211
5204200440221
614313343513
72430144450
oct625274745
9241854230
10106265061
1154a90571
122b707b99
1319028346
1410182497
1594e0e26
hex65579e5

106265061 has 32 divisors (see below), whose sum is σ = 182476800. Its totient is φ = 59860080.

The previous prime is 106265059. The next prime is 106265063. The reversal of 106265061 is 160562601.

It is a happy number.

106265061 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 650 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (106265059) and next prime (106265063).

It is not a de Polignac number, because 106265061 - 21 = 106265059 is a prime.

It is a super-2 number, since 2×1062650612 = 22584526378667442, 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 (106265063) 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, 9460 + ... + 17378.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2106265061 is an apocalyptic number.

It is an amenable number.

106265061 is a deficient number, since it is larger than the sum of its proper divisors (76211739).

106265061 is an equidigital number, since it uses as much as digits as its factorization.

106265061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106265061 is about 10308.4946039662. The cubic root of 106265061 is about 473.6564968406.

The spelling of 106265061 in words is "one hundred six million, two hundred sixty-five thousand, sixty-one".

Divisors: 1 3 7 9 21 27 63 71 189 213 497 639 1491 1917 4473 7919 13419 23757 55433 71271 166299 213813 498897 562249 1496691 1686747 3935743 5060241 11807229 15180723 35421687 106265061