Search a number
-
+
106054332 = 2238837861
BaseRepresentation
bin1100101001001…
…00001010111100
321101120010012020
412110210022330
5204122214312
614305040140
72425306206
oct624441274
9241503166
10106054332
115495720a
122b626050
1318c83457
1410129776
15949d78c
hex65242bc

106054332 has 12 divisors (see below), whose sum is σ = 247460136. Its totient is φ = 35351440.

The previous prime is 106054309. The next prime is 106054337. The reversal of 106054332 is 233450601.

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 2×1060543322 = 22495042671932448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106054337) 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, 4418919 + ... + 4418942.

It is an arithmetic number, because the mean of its divisors is an integer number (20621678).

Almost surely, 2106054332 is an apocalyptic number.

106054332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106054332 is an abundant number, since it is smaller than the sum of its proper divisors (141405804).

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

106054332 is a wasteful number, since it uses less digits than its factorization.

106054332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837868 (or 8837866 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 106054332 is about 10298.2683981337. The cubic root of 106054332 is about 473.3431947074.

The spelling of 106054332 in words is "one hundred six million, fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 8837861 17675722 26513583 35351444 53027166 106054332