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106106994 = 23271914409
BaseRepresentation
bin1100101001100…
…01000001110010
321101122210102200
412110301001302
5204130410434
614310124030
72425615560
oct624610162
9241583380
10106106994
1154992834
122b650616
1318ca1406
1410140a30
1594ae199
hex6531072

106106994 has 48 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 30150720.

The previous prime is 106106993. The next prime is 106107011. The reversal of 106106994 is 499601601.

It is a super-2 number, since 2×1061069942 = 22517388351432072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106106993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21862 + ... + 26270.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2106106994 is an apocalyptic number.

106106994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106106994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

106106994 is an abundant number, since it is smaller than the sum of its proper divisors (158069646).

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

106106994 is a wasteful number, since it uses less digits than its factorization.

106106994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106106994 is about 10300.8249184228. The cubic root of 106106994 is about 473.4215290041.

The spelling of 106106994 in words is "one hundred six million, one hundred six thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 1146 1337 1719 2674 3438 4011 4409 8022 8818 12033 13227 24066 26454 30863 39681 61726 79362 92589 185178 277767 555534 842119 1684238 2526357 5052714 5894833 7579071 11789666 15158142 17684499 35368998 53053497 106106994