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105221450444304 = 243191083710646341
BaseRepresentation
bin10111111011001011000111…
…001011010010111000010000
3111210120001221210111210222110
4113323023013023102320100
5102242422012303204204
61011442022250505320
731106666426466045
oct2773130713227020
9453501853453873
10105221450444304
1130588191727157
12b974756a35240
13469345656516c
141bdaa614451cc
15c270b86dc889
hex5fb2c72d2e10

105221450444304 has 80 divisors (see below), whose sum is σ = 286154935398080. Its totient is φ = 33224757189120.

The previous prime is 105221450444287. The next prime is 105221450444321. The reversal of 105221450444304 is 403444054122501.

It is an interprime number because it is at equal distance from previous prime (105221450444287) and next prime (105221450444321).

It is a super-2 number, since 2×1052214504443042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4560174 + ... + 15206514.

It is an arithmetic number, because the mean of its divisors is an integer number (3576936692476).

Almost surely, 2105221450444304 is an apocalyptic number.

It is an amenable number.

105221450444304 is an abundant number, since it is smaller than the sum of its proper divisors (180933484953776).

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

105221450444304 is a wasteful number, since it uses less digits than its factorization.

105221450444304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657208 (or 10657202 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 105221450444304 in words is "one hundred five trillion, two hundred twenty-one billion, four hundred fifty million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 10837 21674 32511 43348 65022 86696 130044 173392 205903 260088 411806 520176 617709 823612 1235418 1647224 2470836 3294448 4941672 9883344 10646341 21292682 31939023 42585364 63878046 85170728 127756092 170341456 202280479 255512184 404560958 511024368 606841437 809121916 1213682874 1618243832 2427365748 3236487664 4854731496 9709462992 115374397417 230748794834 346123192251 461497589668 692246384502 922995179336 1384492769004 1845990358672 2192113550923 2768985538008 4384227101846 5537971076016 6576340652769 8768454203692 13152681305538 17536908407384 26305362611076 35073816814768 52610725222152 105221450444304