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108086364 = 223219295449
BaseRepresentation
bin1100111000101…
…00010001011100
321112101100121200
412130110101130
5210132230424
614420355500
72451501411
oct634242134
9245340550
10108086364
1156014981
1230245b90
1319515339
14104d8108
1597508c9
hex671445c

108086364 has 72 divisors (see below), whose sum is σ = 297570000. Its totient is φ = 32949504.

The previous prime is 108086359. The next prime is 108086387. The reversal of 108086364 is 463680801.

It is a happy number.

108086364 is a `hidden beast` number, since 10 + 8 + 0 + 8 + 636 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17112 + ... + 22560.

Almost surely, 2108086364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108086364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148785000).

108086364 is an abundant number, since it is smaller than the sum of its proper divisors (189483636).

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

108086364 is a wasteful number, since it uses less digits than its factorization.

108086364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 108086364 is about 10396.4592049409. The cubic root of 108086364 is about 476.3472209399.

The spelling of 108086364 in words is "one hundred eight million, eighty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 5449 6612 9918 10898 16347 19836 21796 32694 49041 65388 98082 103531 158021 196164 207062 310593 316042 414124 474063 621186 632084 931779 948126 1242372 1422189 1863558 1896252 2844378 3002399 3727116 5688756 6004798 9007197 12009596 18014394 27021591 36028788 54043182 108086364