Search a number
-
+
106013214 = 23237159179
BaseRepresentation
bin1100101000110…
…10001000011110
321101111000210100
412110122020132
5204114410324
614304121530
72425045266
oct624321036
9241430710
10106013214
115492932a
122b6062a6
1318c6a818
14101187a6
1594914c9
hex651a21e

106013214 has 24 divisors (see below), whose sum is σ = 235904760. Its totient is φ = 34382448.

The previous prime is 106013137. The next prime is 106013227. The reversal of 106013214 is 412310601.

It is a happy number.

It is a super-2 number, since 2×1060132142 = 22477603085219592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78924 + ... + 80255.

It is an arithmetic number, because the mean of its divisors is an integer number (9829365).

Almost surely, 2106013214 is an apocalyptic number.

106013214 is an abundant number, since it is smaller than the sum of its proper divisors (129891546).

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

106013214 is a wasteful number, since it uses less digits than its factorization.

106013214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159224 (or 159221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106013214 is about 10296.2718495580. The cubic root of 106013214 is about 473.2820139869.

Adding to 106013214 its reverse (412310601), we get a palindrome (518323815).

The spelling of 106013214 in words is "one hundred six million, thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 159179 318358 477537 955074 1432611 2865222 5889623 11779246 17668869 35337738 53006607 106013214