Search a number
-
+
105414612 = 22323381937
BaseRepresentation
bin1100100100001…
…11111111010100
321100100121122220
412102013333110
5203441231422
614243222340
72420003142
oct622077724
9240317586
10105414612
115455a616
122b3779b0
1318abb214
1410000592
1593c3e5c
hex6487fd4

105414612 has 24 divisors (see below), whose sum is σ = 256662336. Its totient is φ = 33610368.

The previous prime is 105414607. The next prime is 105414613. The reversal of 105414612 is 216414501.

It is a happy number.

105414612 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054146122 = 22224480846221088, which contains 22 as substring.

105414612 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414613) 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, 190693 + ... + 191244.

It is an arithmetic number, because the mean of its divisors is an integer number (10694264).

Almost surely, 2105414612 is an apocalyptic number.

105414612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105414612 is an abundant number, since it is smaller than the sum of its proper divisors (151247724).

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

105414612 is a wasteful number, since it uses less digits than its factorization.

105414612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381967 (or 381965 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105414612 is about 10267.1618278860. The cubic root of 105414612 is about 472.3895388602.

The spelling of 105414612 in words is "one hundred five million, four hundred fourteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 381937 763874 1145811 1527748 2291622 4583244 8784551 17569102 26353653 35138204 52707306 105414612