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106116710 = 25719233469
BaseRepresentation
bin1100101001100…
…11011001100110
321101200021202112
412110303121212
5204131213320
614310241022
72425656110
oct624633146
9241607675
10106116710
115499a067
122b656172
1318ca596b
14101443b0
1594b1ec5
hex6533666

106116710 has 64 divisors (see below), whose sum is σ = 239846400. Its totient is φ = 32959872.

The previous prime is 106116707. The next prime is 106116727. The reversal of 106116710 is 17611601.

It is a super-2 number, since 2×1061167102 = 22521512282448200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28856 + ... + 32324.

It is an arithmetic number, because the mean of its divisors is an integer number (3747600).

Almost surely, 2106116710 is an apocalyptic number.

106116710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106116710 is an abundant number, since it is smaller than the sum of its proper divisors (133729690).

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

106116710 is a wasteful number, since it uses less digits than its factorization.

106116710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525.

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 106116710 is about 10301.2965203415. The cubic root of 106116710 is about 473.4359786428.

It can be divided in two parts, 1061 and 16710, that added together give a palindrome (17771).

The spelling of 106116710 in words is "one hundred six million, one hundred sixteen thousand, seven hundred ten".

Divisors: 1 2 5 7 10 14 19 23 35 38 46 70 95 115 133 161 190 230 266 322 437 665 805 874 1330 1610 2185 3059 3469 4370 6118 6938 15295 17345 24283 30590 34690 48566 65911 79787 121415 131822 159574 242830 329555 398935 461377 558509 659110 797870 922754 1117018 1515953 2306885 2792545 3031906 4613770 5585090 7579765 10611671 15159530 21223342 53058355 106116710