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105413005236 = 223711947312043
BaseRepresentation
bin110001000101100011…
…0101100111110110100
3101002002102011111111010
41202023012230332310
53211341212131421
6120232010312220
710421142521610
oct1421306547664
9332072144433
10105413005236
1140783991050
121851a728670
139c2c0b4316
14515dd10340
152b1e573076
hex188b1acfb4

105413005236 has 96 divisors (see below), whose sum is σ = 306713852928. Its totient is φ = 27374837760.

The previous prime is 105413005207. The next prime is 105413005249. The reversal of 105413005236 is 632500314501.

It is a super-2 number, since 2×1054130052362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8747031 + ... + 8759073.

It is an arithmetic number, because the mean of its divisors is an integer number (3194935968).

Almost surely, 2105413005236 is an apocalyptic number.

It is an amenable number.

105413005236 is an abundant number, since it is smaller than the sum of its proper divisors (201300847692).

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

105413005236 is a wasteful number, since it uses less digits than its factorization.

105413005236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21541 (or 21539 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 105413005236 its reverse (632500314501), we get a palindrome (737913319737).

The spelling of 105413005236 in words is "one hundred five billion, four hundred thirteen million, five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 9473 12043 18946 24086 28419 36129 37892 48172 56838 66311 72258 84301 104203 113676 132473 132622 144516 168602 198933 208406 252903 264946 265244 312609 337204 397419 397866 416812 505806 529892 625218 729421 794838 795732 927311 1011612 1250436 1458842 1589676 1854622 2188263 2781933 2917684 3709244 4376526 5563866 8753052 11127732 114083339 228166678 342250017 456333356 684500034 798583373 1254916729 1369000068 1597166746 2395750119 2509833458 3194333492 3764750187 4791500238 5019666916 7529500374 8784417103 9583000476 15059000748 17568834206 26353251309 35137668412 52706502618 105413005236