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105421056 = 2831310559
BaseRepresentation
bin1100100100010…
…01100100000000
321100100221111120
412102021210000
5203441433211
614243312240
72420031006
oct622114400
9240327446
10105421056
1154564444
122b37b680
1318ac1130
1410002a76
1593c5d06
hex6489900

105421056 has 72 divisors (see below), whose sum is σ = 302184960. Its totient is φ = 32434176.

The previous prime is 105421051. The next prime is 105421087. The reversal of 105421056 is 650124501.

It is a super-2 number, since 2×1054210562 = 22227198096310272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105421051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4705 + ... + 15263.

Almost surely, 2105421056 is an apocalyptic number.

105421056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105421056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151092480).

105421056 is an abundant number, since it is smaller than the sum of its proper divisors (196763904).

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

105421056 is a wasteful number, since it uses less digits than its factorization.

105421056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10591 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105421056 is about 10267.4756391238. The cubic root of 105421056 is about 472.3991643954.

Adding to 105421056 its reverse (650124501), we get a palindrome (755545557).

The spelling of 105421056 in words is "one hundred five million, four hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 10559 21118 31677 42236 63354 84472 126708 137267 168944 253416 274534 337888 411801 506832 549068 675776 823602 1013664 1098136 1351552 1647204 2027328 2196272 2703104 3294408 4054656 4392544 6588816 8109312 8785088 13177632 17570176 26355264 35140352 52710528 105421056