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106160010 = 235112911093
BaseRepresentation
bin1100101001111…
…01111110001010
321101202111011020
412110331332022
5204134110020
614311213310
72426226255
oct624757612
9241674136
10106160010
1154a19650
122b677236
1318cbc598
141015609c
1594bec40
hex653df8a

106160010 has 64 divisors (see below), whose sum is σ = 287556480. Its totient is φ = 24846080.

The previous prime is 106160009. The next prime is 106160017. The reversal of 106160010 is 10061601.

It is a super-2 number, since 2×1061600102 = 22539895446400200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (106160017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4024 + ... + 15116.

It is an arithmetic number, because the mean of its divisors is an integer number (4493070).

Almost surely, 2106160010 is an apocalyptic number.

106160010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106160010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143778240).

106160010 is an abundant number, since it is smaller than the sum of its proper divisors (181396470).

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

106160010 is a wasteful number, since it uses less digits than its factorization.

106160010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11143.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 106160010 is about 10303.3979831898. The cubic root of 106160010 is about 473.5003636966.

The spelling of 106160010 in words is "one hundred six million, one hundred sixty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 11093 22186 33279 55465 66558 110930 122023 166395 244046 321697 332790 366069 610115 643394 732138 965091 1220230 1608485 1830345 1930182 3216970 3538667 3660690 4825455 7077334 9650910 10616001 17693335 21232002 35386670 53080005 106160010