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106537520 = 2451331719
BaseRepresentation
bin1100101100110…
…10001000110000
321102110200000002
412112122020300
5204233200040
614323245132
72432361005
oct626321060
9242420002
10106537520
1155157241
122b8197a8
13190c236b
14102138ac
159546a15
hex659a230

106537520 has 20 divisors (see below), whose sum is σ = 247699920. Its totient is φ = 42614976.

The previous prime is 106537511. The next prime is 106537553. The reversal of 106537520 is 25735601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1065375202 = 22700486335500800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665780 + ... + 665939.

It is an arithmetic number, because the mean of its divisors is an integer number (12384996).

Almost surely, 2106537520 is an apocalyptic number.

106537520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106537520 is an abundant number, since it is smaller than the sum of its proper divisors (141162400).

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

106537520 is a wasteful number, since it uses less digits than its factorization.

106537520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331732 (or 1331726 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 106537520 is about 10321.7014101358. The cubic root of 106537520 is about 474.0609629199.

The spelling of 106537520 in words is "one hundred six million, five hundred thirty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1331719 2663438 5326876 6658595 10653752 13317190 21307504 26634380 53268760 106537520