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106400265 = 3510766293
BaseRepresentation
bin1100101011110…
…00101000001001
321102012200201120
412111320220021
5204214302030
614320305453
72431246566
oct625705011
9242180646
10106400265
1155073104
122b772289
1319074a4a
14101b986d
15951b010
hex6578a09

106400265 has 16 divisors (see below), whose sum is σ = 171834048. Its totient is φ = 56215616.

The previous prime is 106400257. The next prime is 106400267. The reversal of 106400265 is 562004601.

It is a cyclic number.

It is not a de Polignac number, because 106400265 - 23 = 106400257 is a prime.

It is a super-2 number, since 2×1064002652 = 22642032784140450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106400267) 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, 31542 + ... + 34751.

It is an arithmetic number, because the mean of its divisors is an integer number (10739628).

Almost surely, 2106400265 is an apocalyptic number.

106400265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106400265 is a deficient number, since it is larger than the sum of its proper divisors (65433783).

106400265 is a wasteful number, since it uses less digits than its factorization.

106400265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66408.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106400265 is about 10315.0504118981. The cubic root of 106400265 is about 473.8572938273.

Adding to 106400265 its reverse (562004601), we get a palindrome (668404866).

The spelling of 106400265 in words is "one hundred six million, four hundred thousand, two hundred sixty-five".

Divisors: 1 3 5 15 107 321 535 1605 66293 198879 331465 994395 7093351 21280053 35466755 106400265