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105331812 = 22323381637
BaseRepresentation
bin1100100011100…
…11110001100100
321100012102002020
412101303301210
5203431104222
614241343140
72416206555
oct621636144
9240172066
10105331812
1154503393
122b337ab0
1318a8c621
14ddbc32c
1593a965c
hex6473c64

105331812 has 24 divisors (see below), whose sum is σ = 256460736. Its totient is φ = 33583968.

The previous prime is 105331783. The next prime is 105331879. The reversal of 105331812 is 218133501.

105331812 = 21292 + 21302 + ... + 21512.

It is a super-2 number, since 2×1053318122 = 22189581238406688, which contains 22 as substring.

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, 190543 + ... + 191094.

It is an arithmetic number, because the mean of its divisors is an integer number (10685864).

Almost surely, 2105331812 is an apocalyptic number.

105331812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105331812 is an abundant number, since it is smaller than the sum of its proper divisors (151128924).

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

105331812 is a wasteful number, since it uses less digits than its factorization.

105331812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381667 (or 381665 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105331812 is about 10263.1287627117. The cubic root of 105331812 is about 472.2658238822.

The spelling of 105331812 in words is "one hundred five million, three hundred thirty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 381637 763274 1144911 1526548 2289822 4579644 8777651 17555302 26332953 35110604 52665906 105331812