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106421160 = 23354718869
BaseRepresentation
bin1100101011111…
…01101110101000
321102020202101110
412111331232220
5204220434120
614320550320
72431364526
oct625755650
9242222343
10106421160
115508787a
122b7823a0
1319081401
14101c3316
1595222e0
hex657dba8

106421160 has 64 divisors (see below), whose sum is σ = 326073600. Its totient is φ = 27773696.

The previous prime is 106421143. The next prime is 106421167. The reversal of 106421160 is 61124601.

It is a super-2 number, since 2×1064211602 = 22650926591491200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106421167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795 + ... + 15074.

It is an arithmetic number, because the mean of its divisors is an integer number (5094900).

Almost surely, 2106421160 is an apocalyptic number.

106421160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106421160 is an abundant number, since it is smaller than the sum of its proper divisors (219652440).

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

106421160 is a wasteful number, since it uses less digits than its factorization.

106421160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18930 (or 18926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106421160 is about 10316.0632025982. The cubic root of 106421160 is about 473.8883106676. Note that the first 3 decimals are identical.

Adding to 106421160 its reverse (61124601), we get a palindrome (167545761).

The spelling of 106421160 in words is "one hundred six million, four hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 18869 37738 56607 75476 94345 113214 150952 188690 226428 283035 377380 452856 566070 754760 886843 1132140 1773686 2264280 2660529 3547372 4434215 5321058 7094744 8868430 10642116 13302645 17736860 21284232 26605290 35473720 53210580 106421160