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105145936 = 247938803
BaseRepresentation
bin1100100010001…
…10011001010000
321022211222002221
412101012121100
5203404132221
614233350424
72414503630
oct621063120
9238758087
10105145936
1154396775
122b268414
1318a25b3c
14dd706c0
15936e541
hex6446650

105145936 has 20 divisors (see below), whose sum is σ = 232823392. Its totient is φ = 45062496.

The previous prime is 105145933. The next prime is 105145939. The reversal of 105145936 is 639541501.

It is an interprime number because it is at equal distance from previous prime (105145933) and next prime (105145939).

It is a super-2 number, since 2×1051459362 = 22111335714632192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469290 + ... + 469513.

Almost surely, 2105145936 is an apocalyptic number.

105145936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105145936 is an abundant number, since it is smaller than the sum of its proper divisors (127677456).

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

105145936 is an equidigital number, since it uses as much as digits as its factorization.

105145936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938818 (or 938812 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 105145936 is about 10254.0692410379. The cubic root of 105145936 is about 471.9878623710.

The spelling of 105145936 in words is "one hundred five million, one hundred forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 938803 1877606 3755212 6571621 7510424 13143242 15020848 26286484 52572968 105145936