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106814202 = 23112167881
BaseRepresentation
bin1100101110111…
…01101011111010
321102222201112120
412113131223322
5204321023302
614333222110
72434622445
oct627355372
9242881476
10106814202
1155326100
122b931936
131918b291
141028665c
15959d9bc
hex65ddafa

106814202 has 48 divisors (see below), whose sum is σ = 236488896. Its totient is φ = 32137600.

The previous prime is 106814173. The next prime is 106814207. The reversal of 106814202 is 202418601.

It is a super-2 number, since 2×1068142022 = 22818547497793608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106814207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120802 + ... + 121682.

It is an arithmetic number, because the mean of its divisors is an integer number (4926852).

Almost surely, 2106814202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106814202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118244448).

106814202 is an abundant number, since it is smaller than the sum of its proper divisors (129674694).

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

106814202 is a wasteful number, since it uses less digits than its factorization.

106814202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 106814202 is about 10335.0956454210. The cubic root of 106814202 is about 474.4709929662.

The spelling of 106814202 in words is "one hundred six million, eight hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 167 242 334 363 501 726 881 1002 1762 1837 2643 3674 5286 5511 9691 11022 19382 20207 29073 40414 58146 60621 106601 121242 147127 213202 294254 319803 441381 639606 882762 1618397 3236794 4855191 9710382 17802367 35604734 53407101 106814202