Search a number
-
+
106351332 = 2238862611
BaseRepresentation
bin1100101011011…
…00101011100100
321102010012121020
412111230223210
5204211220312
614315251140
72430654123
oct625545344
9242105536
10106351332
115503a36a
122b749ab0
13190586a9
14101a5aba
15950b78c
hex656cae4

106351332 has 12 divisors (see below), whose sum is σ = 248153136. Its totient is φ = 35450440.

The previous prime is 106351331. The next prime is 106351339. The reversal of 106351332 is 233153601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1063513322 = 22621211636348448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106351331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4431294 + ... + 4431317.

It is an arithmetic number, because the mean of its divisors is an integer number (20679428).

Almost surely, 2106351332 is an apocalyptic number.

106351332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106351332 is an abundant number, since it is smaller than the sum of its proper divisors (141801804).

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

106351332 is a wasteful number, since it uses less digits than its factorization.

106351332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862618 (or 8862616 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 106351332 is about 10312.6782166419. The cubic root of 106351332 is about 473.7846410808.

The spelling of 106351332 in words is "one hundred six million, three hundred fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 8862611 17725222 26587833 35450444 53175666 106351332