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106161216 = 263778989
BaseRepresentation
bin1100101001111…
…10010001000000
321101202112210220
412110332101000
5204134124331
614311223040
72426232630
oct624762100
9241675726
10106161216
1154a1a547
122b677a80
1318cbccb5
14101566c0
1594c0296
hex653e440

106161216 has 56 divisors (see below), whose sum is σ = 321015360. Its totient is φ = 30331392.

The previous prime is 106161193. The next prime is 106161287. The reversal of 106161216 is 612161601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1061612162 = 22540407565197312, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 38151 + ... + 40838.

Almost surely, 2106161216 is an apocalyptic number.

106161216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106161216 is an abundant number, since it is smaller than the sum of its proper divisors (214854144).

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

106161216 is an equidigital number, since it uses as much as digits as its factorization.

106161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79011 (or 79001 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 106161216 is about 10303.4565074057. The cubic root of 106161216 is about 473.5021567110.

The spelling of 106161216 in words is "one hundred six million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 78989 157978 236967 315956 473934 552923 631912 947868 1105846 1263824 1658769 1895736 2211692 2527648 3317538 3791472 4423384 5055296 6635076 7582944 8846768 13270152 15165888 17693536 26540304 35387072 53080608 106161216