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106696944 = 2432740951
BaseRepresentation
bin1100101110000…
…01000011110000
321102202202200200
412113001003300
5204303300234
614330515200
72433623544
oct627010360
9242682620
10106696944
1155255aa2
122b895b00
1319149ab3
1410255a24
159578d99
hex65c10f0

106696944 has 30 divisors (see below), whose sum is σ = 298603656. Its totient is φ = 35565600.

The previous prime is 106696903. The next prime is 106696949. The reversal of 106696944 is 449696601.

It is a super-2 number, since 2×1066969442 = 22768475717878272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106696944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106696949) 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 5 ways as a sum of consecutive naturals, for example, 370332 + ... + 370619.

Almost surely, 2106696944 is an apocalyptic number.

It is an amenable number.

106696944 is an abundant number, since it is smaller than the sum of its proper divisors (191906712).

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

106696944 is a wasteful number, since it uses less digits than its factorization.

106696944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740965 (or 740956 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 106696944 is about 10329.4212809818. The cubic root of 106696944 is about 474.2973085388.

The spelling of 106696944 in words is "one hundred six million, six hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 740951 1481902 2222853 2963804 4445706 5927608 6668559 8891412 11855216 13337118 17782824 26674236 35565648 53348472 106696944