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106371660 = 22357392399
BaseRepresentation
bin1100101011100…
…01101001001100
321102011020111010
412111301221030
5204212343120
614315525220
72431100313
oct625615114
9242136433
10106371660
115505366a
122b759810
1319064a15
14101ad27a
1595127e0
hex6571a4c

106371660 has 48 divisors (see below), whose sum is σ = 298368000. Its totient is φ = 28315584.

The previous prime is 106371653. The next prime is 106371667. The reversal of 106371660 is 66173601.

It is an interprime number because it is at equal distance from previous prime (106371653) and next prime (106371667).

It is a super-2 number, since 2×1063716602 = 22629860102311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106371667) 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 15 ways as a sum of consecutive naturals, for example, 43141 + ... + 45539.

It is an arithmetic number, because the mean of its divisors is an integer number (6216000).

Almost surely, 2106371660 is an apocalyptic number.

106371660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106371660 is an abundant number, since it is smaller than the sum of its proper divisors (191996340).

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

106371660 is a wasteful number, since it uses less digits than its factorization.

106371660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 106371660 is about 10313.6637525178. The cubic root of 106371660 is about 473.8148255660.

The spelling of 106371660 in words is "one hundred six million, three hundred seventy-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 739 1478 2217 2399 2956 3695 4434 4798 7197 7390 8868 9596 11085 11995 14394 14780 22170 23990 28788 35985 44340 47980 71970 143940 1772861 3545722 5318583 7091444 8864305 10637166 17728610 21274332 26592915 35457220 53185830 106371660