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105421376 = 2647101347
BaseRepresentation
bin1100100100010…
…01101001000000
321100100221221102
412102021221000
5203441441001
614243313532
72420031644
oct622115100
9240327842
10105421376
1154564705
122b37b8a8
1318ac1318
1410002c24
1593c5e6b
hex6489a40

105421376 has 56 divisors (see below), whose sum is σ = 216383616. Its totient is φ = 50931200.

The previous prime is 105421361. The next prime is 105421387. The reversal of 105421376 is 673124501.

It is a super-2 number, since 2×1054213762 = 22227333035466752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303635 + ... + 303981.

Almost surely, 2105421376 is an apocalyptic number.

105421376 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 105421376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108191808).

105421376 is an abundant number, since it is smaller than the sum of its proper divisors (110962240).

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

105421376 is a wasteful number, since it uses less digits than its factorization.

105421376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105421376 is about 10267.4912222996. The cubic root of 105421376 is about 472.3996423757.

Adding to 105421376 its reverse (673124501), we get a palindrome (778545877).

The spelling of 105421376 in words is "one hundred five million, four hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 94 101 188 202 347 376 404 694 752 808 1388 1504 1616 2776 3008 3232 4747 5552 6464 9494 11104 16309 18988 22208 32618 35047 37976 65236 70094 75952 130472 140188 151904 260944 280376 303808 521888 560752 1043776 1121504 1647209 2243008 3294418 6588836 13177672 26355344 52710688 105421376