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106715196 = 22327735801
BaseRepresentation
bin1100101110001…
…01100000111100
321102210200201200
412113011200330
5204304341241
614331135500
72434031010
oct627054074
9242720650
10106715196
1155268785
122b8a4590
13191551b3
141025c540
15957e4b6
hex65c583c

106715196 has 72 divisors (see below), whose sum is σ = 312565344. Its totient is φ = 30067200.

The previous prime is 106715093. The next prime is 106715209. The reversal of 106715196 is 691517601.

It is a happy number.

It is a super-2 number, since 2×1067151962 = 22776266114636832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106715196.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15496 + ... + 21296.

Almost surely, 2106715196 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 106715196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156282672).

106715196 is an abundant number, since it is smaller than the sum of its proper divisors (205850148).

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

106715196 is a wasteful number, since it uses less digits than its factorization.

106715196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 106715196 is about 10330.3047389707. The cubic root of 106715196 is about 474.3243520528.

The spelling of 106715196 in words is "one hundred six million, seven hundred fifteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 5801 6132 9198 11602 17403 18396 23204 34806 40607 52209 69612 81214 104418 121821 162428 208836 243642 365463 423473 487284 730926 846946 1270419 1461852 1693892 2540838 2964311 3811257 5081676 5928622 7622514 8892933 11857244 15245028 17785866 26678799 35571732 53357598 106715196