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106397863 = 11134631607
BaseRepresentation
bin1100101011110…
…00000010100111
321102012120102121
412111320002213
5204214212423
614320250411
72431236565
oct625700247
9242176377
10106397863
1155071320
122b770a07
1319073920
14101b8a35
15951a45d
hex65780a7

106397863 has 16 divisors (see below), whose sum is σ = 125346816. Its totient is φ = 89036640.

The previous prime is 106397833. The next prime is 106397869. The reversal of 106397863 is 368793601.

It is a de Polignac number, because none of the positive numbers 2k-106397863 is a prime.

It is a super-2 number, since 2×1063978632 = 22641010501933538, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106397869) 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 15 ways as a sum of consecutive naturals, for example, 65406 + ... + 67012.

It is an arithmetic number, because the mean of its divisors is an integer number (7834176).

Almost surely, 2106397863 is an apocalyptic number.

106397863 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106397863 is a deficient number, since it is larger than the sum of its proper divisors (18948953).

106397863 is a wasteful number, since it uses less digits than its factorization.

106397863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094.

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 106397863 is about 10314.9339794300. The cubic root of 106397863 is about 473.8537280035.

The spelling of 106397863 in words is "one hundred six million, three hundred ninety-seven thousand, eight hundred sixty-three".

Divisors: 1 11 13 143 463 1607 5093 6019 17677 20891 66209 229801 744041 8184451 9672533 106397863