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106998084 = 2234330241
BaseRepresentation
bin1100110000010…
…10100101000100
321110100001210000
412120022211010
5204342414314
614341201300
72436316524
oct630124504
9243301700
10106998084
1155441276
122ba00230
1319223b9b
14102d3684
1595d8209
hex660a944

106998084 has 30 divisors (see below), whose sum is σ = 279714974. Its totient is φ = 35665920.

The previous prime is 106998079. The next prime is 106998103. The reversal of 106998084 is 480899601.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 5391684 = 10080^2 + 2322^2 .

It is a super-2 number, since 2×1069980842 = 22897179959342112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 164797 + ... + 165444.

Almost surely, 2106998084 is an apocalyptic number.

It is an amenable number.

106998084 is an abundant number, since it is smaller than the sum of its proper divisors (172716890).

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

106998084 is a wasteful number, since it uses less digits than its factorization.

106998084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330257 (or 330246 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 106998084 is about 10343.9878190183. The cubic root of 106998084 is about 474.7431061494.

Adding to 106998084 its product of nonzero digits (124416), we get a square (107122500 = 103502).

The spelling of 106998084 in words is "one hundred six million, nine hundred ninety-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 330241 660482 990723 1320964 1981446 2972169 3962892 5944338 8916507 11888676 17833014 26749521 35666028 53499042 106998084