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106941588 = 223131315233
BaseRepresentation
bin1100101111111…
…00110010010100
321110020012021120
412113330302110
5204334112323
614340043540
72435663025
oct627746224
9243205246
10106941588
1155402886
122b9935b0
1319204260
14102bac4c
1595c65e3
hex65fcc94

106941588 has 48 divisors (see below), whose sum is σ = 270828096. Its totient is φ = 32647680.

The previous prime is 106941587. The next prime is 106941607. The reversal of 106941588 is 885149601.

It is a super-2 number, since 2×1069415882 = 22873006487923488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106941587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17820 + ... + 23052.

It is an arithmetic number, because the mean of its divisors is an integer number (5642252).

Almost surely, 2106941588 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 106941588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135414048).

106941588 is an abundant number, since it is smaller than the sum of its proper divisors (163886508).

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

106941588 is a wasteful number, since it uses less digits than its factorization.

106941588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 106941588 is about 10341.2565967584. The cubic root of 106941588 is about 474.6595351560.

The spelling of 106941588 in words is "one hundred six million, nine hundred forty-one thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 786 1572 1703 3406 5109 5233 6812 10218 10466 15699 20436 20932 31398 62796 68029 136058 204087 272116 408174 685523 816348 1371046 2056569 2742092 4113138 8226276 8911799 17823598 26735397 35647196 53470794 106941588