Search a number
-
+
105425664 = 283137273
BaseRepresentation
bin1100100100010…
…10101100000000
321100101011211020
412102022230000
5203442110124
614243345440
72420050311
oct622125400
9240334736
10105425664
1154567953
122b382280
1318ac3266
1410004608
1593c7379
hex648ab00

105425664 has 36 divisors (see below), whose sum is σ = 280588056. Its totient is φ = 35141632.

The previous prime is 105425659. The next prime is 105425689. The reversal of 105425664 is 466524501.

It is a super-2 number, since 2×1054256642 = 22229141259681792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67869 + ... + 69404.

Almost surely, 2105425664 is an apocalyptic number.

It is an amenable number.

105425664 is an abundant number, since it is smaller than the sum of its proper divisors (175162392).

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

105425664 is an equidigital number, since it uses as much as digits as its factorization.

105425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137292 (or 137278 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 105425664 is about 10267.7000345744. The cubic root of 105425664 is about 472.4060472191.

The spelling of 105425664 in words is "one hundred five million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 137273 274546 411819 549092 823638 1098184 1647276 2196368 3294552 4392736 6589104 8785472 13178208 17570944 26356416 35141888 52712832 105425664