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105245740 = 22561281307
BaseRepresentation
bin1100100010111…
…10110000101100
321100001001000101
412101132300230
5203420330430
614235440444
72415400615
oct621366054
9240031011
10105245740
1154454756
122b2b6124
1318a5c3b2
14dd98c0c
15938ddca
hex645ec2c

105245740 has 48 divisors (see below), whose sum is σ = 226173024. Its totient is φ = 41126400.

The previous prime is 105245717. The next prime is 105245741. The reversal of 105245740 is 47542501.

It is a super-2 number, since 2×1052457402 = 22153331576295200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105245699 and 105245708.

It is not an unprimeable number, because it can be changed into a prime (105245741) 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 15 ways as a sum of consecutive naturals, for example, 342667 + ... + 342973.

It is an arithmetic number, because the mean of its divisors is an integer number (4711938).

Almost surely, 2105245740 is an apocalyptic number.

105245740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105245740 is an abundant number, since it is smaller than the sum of its proper divisors (120927284).

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

105245740 is a wasteful number, since it uses less digits than its factorization.

105245740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 105245740 is about 10258.9346425445. The cubic root of 105245740 is about 472.1371513241.

The spelling of 105245740 in words is "one hundred five million, two hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 281 305 307 562 610 614 1124 1220 1228 1405 1535 2810 3070 5620 6140 17141 18727 34282 37454 68564 74908 85705 86267 93635 171410 172534 187270 342820 345068 374540 431335 862670 1725340 5262287 10524574 21049148 26311435 52622870 105245740