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106970136 = 23372136997
BaseRepresentation
bin1100110000000…
…11110000011000
321110021122102220
412120003300120
5204341021021
614340424040
72436142200
oct630036030
9243248386
10106970136
1155422279
122b9a8020
1319214250
14102c7400
1595cecc6
hex6603c18

106970136 has 96 divisors (see below), whose sum is σ = 335064240. Its totient is φ = 28207872.

The previous prime is 106970117. The next prime is 106970161. The reversal of 106970136 is 631079601.

It is a super-2 number, since 2×1069701362 = 22885219991716992, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 106970097 and 106970106.

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, 11790 + ... + 18786.

Almost surely, 2106970136 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 106970136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167532120).

106970136 is an abundant number, since it is smaller than the sum of its proper divisors (228094104).

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

106970136 is a wasteful number, since it uses less digits than its factorization.

106970136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7033 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 106970136 is about 10342.6368011257. The cubic root of 106970136 is about 474.7017681016.

The spelling of 106970136 in words is "one hundred six million, nine hundred seventy thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 6997 7644 13994 15288 20991 27988 41982 48979 55976 83964 90961 97958 146937 167928 181922 195916 272883 293874 342853 363844 391832 545766 587748 636727 685706 727688 1028559 1091532 1175496 1273454 1371412 1910181 2057118 2183064 2546908 2742824 3820362 4114236 4457089 5093816 7640724 8228472 8914178 13371267 15281448 17828356 26742534 35656712 53485068 106970136