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105683148 = 223221113913
BaseRepresentation
bin1100100110010…
…01100011001100
321100212021000200
412103021203030
5204023330043
614253053500
72422202064
oct623114314
9240767020
10105683148
115472334a
122b487290
1318b8350c
14100703a4
1594287d3
hex64c98cc

105683148 has 36 divisors (see below), whose sum is σ = 268428888. Its totient is φ = 35058240.

The previous prime is 105683141. The next prime is 105683159. The reversal of 105683148 is 841386501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1056831482 = 22337855542379808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105683141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640 + ... + 14552.

It is an arithmetic number, because the mean of its divisors is an integer number (7456358).

Almost surely, 2105683148 is an apocalyptic number.

105683148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105683148 is an abundant number, since it is smaller than the sum of its proper divisors (162745740).

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

105683148 is a wasteful number, since it uses less digits than its factorization.

105683148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14134 (or 14129 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105683148 is about 10280.2309312583. The cubic root of 105683148 is about 472.7903246407.

The spelling of 105683148 in words is "one hundred five million, six hundred eighty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 7596 13913 27826 41739 55652 83478 125217 166956 250434 500868 2935643 5871286 8806929 11742572 17613858 26420787 35227716 52841574 105683148