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106339194 = 2321332689
BaseRepresentation
bin1100101011010…
…01101101111010
321102002120221200
412111221231322
5204210323234
614315115030
72430603543
oct625515572
9242076850
10106339194
1155031235
122b742a76
1319053000
14101a14ca
159507d99
hex6569b7a

106339194 has 48 divisors (see below), whose sum is σ = 249685800. Its totient is φ = 32707584.

The previous prime is 106339187. The next prime is 106339213. The reversal of 106339194 is 491933601.

106339194 is a `hidden beast` number, since 1 + 0 + 633 + 9 + 19 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1010025 + 105329169 = 1005^2 + 10263^2 .

It is a super-2 number, since 2×1063391942 = 22616048361139272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38202 + ... + 40890.

Almost surely, 2106339194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106339194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124842900).

106339194 is an abundant number, since it is smaller than the sum of its proper divisors (143346606).

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

106339194 is a wasteful number, since it uses less digits than its factorization.

106339194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 106339194 is about 10312.0897009287. The cubic root of 106339194 is about 473.7666158661.

The spelling of 106339194 in words is "one hundred six million, three hundred thirty-nine thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 2197 2689 3042 4394 5378 6591 8067 13182 16134 19773 24201 34957 39546 48402 69914 104871 209742 314613 454441 629226 908882 1363323 2726646 4089969 5907733 8179938 11815466 17723199 35446398 53169597 106339194