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106996962 = 2341434947
BaseRepresentation
bin1100110000010…
…10010011100010
321110100000020110
412120022103202
5204342400322
614341152150
72436313332
oct630122342
9243300213
10106996962
1155440446
122b9bb656
1319223517
14102d30c2
1595d7c0c
hex660a4e2

106996962 has 16 divisors (see below), whose sum is σ = 219213792. Its totient is φ = 34795680.

The previous prime is 106996937. The next prime is 106996969. The reversal of 106996962 is 269699601.

It is a happy number.

It is a super-2 number, since 2×1069969622 = 22896699754458888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106996969) 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 7 ways as a sum of consecutive naturals, for example, 217228 + ... + 217719.

It is an arithmetic number, because the mean of its divisors is an integer number (13700862).

Almost surely, 2106996962 is an apocalyptic number.

106996962 is an abundant number, since it is smaller than the sum of its proper divisors (112216830).

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

106996962 is a wasteful number, since it uses less digits than its factorization.

106996962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434993.

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 106996962 is about 10343.9335844736. The cubic root of 106996962 is about 474.7414467314.

The spelling of 106996962 in words is "one hundred six million, nine hundred ninety-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 41 82 123 246 434947 869894 1304841 2609682 17832827 35665654 53498481 106996962