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106161552 = 24327105319
BaseRepresentation
bin1100101001111…
…10010110010000
321101202120021100
412110332112100
5204134132202
614311224400
72426233620
oct624762620
9241676240
10106161552
1154a1a822
122b678100
1318cc01b3
1410156880
1594c041c
hex653e590

106161552 has 60 divisors (see below), whose sum is σ = 339551680. Its totient is φ = 30331584.

The previous prime is 106161551. The next prime is 106161571. The reversal of 106161552 is 255161601.

It is a happy number.

106161552 is a `hidden beast` number, since 106 + 1 + 6 + 1 + 552 = 666.

It is a super-2 number, since 2×1061615522 = 22540550246097408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106161551) 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 11 ways as a sum of consecutive naturals, for example, 51652 + ... + 53667.

Almost surely, 2106161552 is an apocalyptic number.

106161552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106161552 is an abundant number, since it is smaller than the sum of its proper divisors (233390128).

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

106161552 is a wasteful number, since it uses less digits than its factorization.

106161552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105340 (or 105331 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 106161552 is about 10303.4728126006. The cubic root of 106161552 is about 473.5026562549.

The spelling of 106161552 in words is "one hundred six million, one hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 105319 210638 315957 421276 631914 737233 842552 947871 1263828 1474466 1685104 1895742 2211699 2527656 2948932 3791484 4423398 5055312 5897864 6635097 7582968 8846796 11795728 13270194 15165936 17693592 26540388 35387184 53080776 106161552