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106198152 = 2334424923
BaseRepresentation
bin1100101010001…
…11010010001000
321101211102110220
412111013102020
5204141320102
614312110040
72426445414
oct625072210
9241742426
10106198152
1154a45275
122b695320
1319003a58
1410165d44
1594cb1bc
hex6547488

106198152 has 16 divisors (see below), whose sum is σ = 265495440. Its totient is φ = 35399376.

The previous prime is 106198151. The next prime is 106198181. The reversal of 106198152 is 251891601.

It is a super-2 number, since 2×1061981522 = 22556094976430208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106198151) 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 3 ways as a sum of consecutive naturals, for example, 2212438 + ... + 2212485.

It is an arithmetic number, because the mean of its divisors is an integer number (16593465).

Almost surely, 2106198152 is an apocalyptic number.

106198152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106198152 is an abundant number, since it is smaller than the sum of its proper divisors (159297288).

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

106198152 is a wasteful number, since it uses less digits than its factorization.

106198152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424932 (or 4424928 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 106198152 is about 10305.2487597340. The cubic root of 106198152 is about 473.5570645465.

The spelling of 106198152 in words is "one hundred six million, one hundred ninety-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 4424923 8849846 13274769 17699692 26549538 35399384 53099076 106198152