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106237320 = 23357126473
BaseRepresentation
bin1100101010100…
…00110110001000
321101220102012120
412111100312020
5204144043240
614313011240
72430000540
oct625206610
9241812176
10106237320
1154a71742
122b6b3b20
1319018827
1410176320
1594d7ad0
hex6550d88

106237320 has 64 divisors (see below), whose sum is σ = 364245120. Its totient is φ = 24282624.

The previous prime is 106237309. The next prime is 106237321. The reversal of 106237320 is 23732601.

It is a super-2 number, since 2×1062373202 = 22572736321564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106237321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62397 + ... + 64076.

It is an arithmetic number, because the mean of its divisors is an integer number (5691330).

Almost surely, 2106237320 is an apocalyptic number.

106237320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106237320 is an abundant number, since it is smaller than the sum of its proper divisors (258007800).

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

106237320 is a wasteful number, since it uses less digits than its factorization.

106237320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126494 (or 126490 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 106237320 is about 10307.1489753472. The cubic root of 106237320 is about 473.6152764924.

Adding to 106237320 its reverse (23732601), we get a palindrome (129969921).

The spelling of 106237320 in words is "one hundred six million, two hundred thirty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 126473 252946 379419 505892 632365 758838 885311 1011784 1264730 1517676 1770622 1897095 2529460 2655933 3035352 3541244 3794190 4426555 5058920 5311866 7082488 7588380 8853110 10623732 13279665 15176760 17706220 21247464 26559330 35412440 53118660 106237320