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106988970 = 23511324209
BaseRepresentation
bin1100110000010…
…00010110101010
321110022121021110
412120020112222
5204342121340
614341051150
72436251124
oct630102652
9243277243
10106988970
1155435440
122b9b6ab6
131921c9aa
14102d0214
1595d5680
hex66085aa

106988970 has 32 divisors (see below), whose sum is σ = 280117440. Its totient is φ = 25936640.

The previous prime is 106988957. The next prime is 106988983. The reversal of 106988970 is 79889601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106988957) and next prime (106988983).

It is a super-2 number, since 2×1069889702 = 22893279403321800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 161775 + ... + 162434.

It is an arithmetic number, because the mean of its divisors is an integer number (8753670).

Almost surely, 2106988970 is an apocalyptic number.

106988970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106988970 is an abundant number, since it is smaller than the sum of its proper divisors (173128470).

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

106988970 is a wasteful number, since it uses less digits than its factorization.

106988970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324230.

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 106988970 is about 10343.5472638742. The cubic root of 106988970 is about 474.7296263705.

The spelling of 106988970 in words is "one hundred six million, nine hundred eighty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 324209 648418 972627 1621045 1945254 3242090 3566299 4863135 7132598 9726270 10698897 17831495 21397794 35662990 53494485 106988970