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106207720 = 23519139747
BaseRepresentation
bin1100101010010…
…01100111101000
321101211220121021
412111021213220
5204142121340
614312222224
72426515333
oct625114750
9241756537
10106207720
1154a51483
122b69a974
1319008208
141016961a
1594cde4a
hex65499e8

106207720 has 32 divisors (see below), whose sum is σ = 251546400. Its totient is φ = 40246848.

The previous prime is 106207697. The next prime is 106207727. The reversal of 106207720 is 27702601.

106207720 = T101 + T102 + ... + T860.

It is a super-2 number, since 2×1062077202 = 22560159575196800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106207727) 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, 69114 + ... + 70633.

It is an arithmetic number, because the mean of its divisors is an integer number (7860825).

Almost surely, 2106207720 is an apocalyptic number.

106207720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106207720 is an abundant number, since it is smaller than the sum of its proper divisors (145338680).

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

106207720 is a wasteful number, since it uses less digits than its factorization.

106207720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139777 (or 139773 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 106207720 is about 10305.7129787317. The cubic root of 106207720 is about 473.5712859425.

The spelling of 106207720 in words is "one hundred six million, two hundred seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 139747 279494 558988 698735 1117976 1397470 2655193 2794940 5310386 5589880 10620772 13275965 21241544 26551930 53103860 106207720