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106380432 = 2433246251
BaseRepresentation
bin1100101011100…
…11110010010000
321102011200112000
412111303302100
5204213133212
614320034000
72431135014
oct625636220
9242150460
10106380432
115505a214
122b762900
1319068a02
14101b2544
1595151dc
hex6573c90

106380432 has 40 divisors (see below), whose sum is σ = 305352480. Its totient is φ = 35460000.

The previous prime is 106380427. The next prime is 106380457. The reversal of 106380432 is 234083601.

It is a happy number.

It is a super-2 number, since 2×1063804322 = 22633592625013248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106380396 and 106380405.

It is an unprimeable number.

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, 122694 + ... + 123557.

It is an arithmetic number, because the mean of its divisors is an integer number (7633812).

Almost surely, 2106380432 is an apocalyptic number.

106380432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106380432 is an abundant number, since it is smaller than the sum of its proper divisors (198972048).

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

106380432 is a wasteful number, since it uses less digits than its factorization.

106380432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246268 (or 246256 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106380432 is about 10314.0890048516. The cubic root of 106380432 is about 473.8278496785.

The spelling of 106380432 in words is "one hundred six million, three hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 246251 492502 738753 985004 1477506 1970008 2216259 2955012 3940016 4432518 5910024 6648777 8865036 11820048 13297554 17730072 26595108 35460144 53190216 106380432