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106423616 = 2613127913
BaseRepresentation
bin1100101011111…
…10010101000000
321102020212202102
412111332111000
5204221023431
614321005532
72431404635
oct625762500
9242225672
10106423616
1155089702
122b7838a8
1319082570
14101c418c
159522dcb
hex657e540

106423616 has 28 divisors (see below), whose sum is σ = 227431092. Its totient is φ = 49118208.

The previous prime is 106423613. The next prime is 106423627. The reversal of 106423616 is 616324601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34105600 + 72318016 = 5840^2 + 8504^2 .

It is a super-2 number, since 2×1064236162 = 22651972085030912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106423613) 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, 63125 + ... + 64788.

It is an arithmetic number, because the mean of its divisors is an integer number (8122539).

Almost surely, 2106423616 is an apocalyptic number.

106423616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106423616 is an abundant number, since it is smaller than the sum of its proper divisors (121007476).

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

106423616 is a wasteful number, since it uses less digits than its factorization.

106423616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127938 (or 127928 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 106423616 is about 10316.1822395691. The cubic root of 106423616 is about 473.8919561229.

The spelling of 106423616 in words is "one hundred six million, four hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 127913 255826 511652 1023304 1662869 2046608 3325738 4093216 6651476 8186432 13302952 26605904 53211808 106423616