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106102336 = 263153479
BaseRepresentation
bin1100101001011…
…11111001000000
321101122120001011
412110233321000
5204130233321
614310050304
72425566154
oct624577100
9241576034
10106102336
115498a28a
122b649994
1318c9c262
141013d064
1594acae1
hex652fe40

106102336 has 28 divisors (see below), whose sum is σ = 217342720. Its totient is φ = 51338880.

The previous prime is 106102333. The next prime is 106102379. The reversal of 106102336 is 633201601.

It is a super-2 number, since 2×1061023362 = 22515411409313792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106102333) 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 3 ways as a sum of consecutive naturals, for example, 24756 + ... + 28723.

It is an arithmetic number, because the mean of its divisors is an integer number (7762240).

Almost surely, 2106102336 is an apocalyptic number.

106102336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106102336 is an abundant number, since it is smaller than the sum of its proper divisors (111240384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106102336 is an equidigital number, since it uses as much as digits as its factorization.

106102336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53522 (or 53512 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 106102336 is about 10300.5988175445. The cubic root of 106102336 is about 473.4146013120.

Adding to 106102336 its reverse (633201601), we get a palindrome (739303937).

The spelling of 106102336 in words is "one hundred six million, one hundred two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 53479 106958 213916 427832 855664 1657849 1711328 3315698 3422656 6631396 13262792 26525584 53051168 106102336