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106531544 = 23712591511
BaseRepresentation
bin1100101100110…
…00101011011000
321102110100210202
412112120223120
5204233002134
614323201332
72432334410
oct626305330
9242410722
10106531544
11551527a9
122b816248
13190bc722
1410211640
159544d7e
hex6598ad8

106531544 has 32 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 45589920.

The previous prime is 106531543. The next prime is 106531567. The reversal of 106531544 is 445135601.

It is a happy number.

It is a super-2 number, since 2×1065315442 = 22697939734047872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106531543) 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 7 ways as a sum of consecutive naturals, for example, 69749 + ... + 71259.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2106531544 is an apocalyptic number.

106531544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106531544 is an abundant number, since it is smaller than the sum of its proper divisors (122082856).

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

106531544 is a wasteful number, since it uses less digits than its factorization.

106531544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 106531544 is about 10321.4119189188. The cubic root of 106531544 is about 474.0520989338.

The spelling of 106531544 in words is "one hundred six million, five hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 1259 1511 2518 3022 5036 6044 8813 10072 10577 12088 17626 21154 35252 42308 70504 84616 1902349 3804698 7609396 13316443 15218792 26632886 53265772 106531544