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106064060 = 22571113661
BaseRepresentation
bin1100101001001…
…10100010111100
321101120121112112
412110212202330
5204123022220
614305153152
72425346444
oct624464274
9241517475
10106064060
1154963553
122b62b7b8
1318c879cb
141012d124
1594a15c5
hex65268bc

106064060 has 48 divisors (see below), whose sum is σ = 228215232. Its totient is φ = 41395200.

The previous prime is 106064033. The next prime is 106064069. The reversal of 106064060 is 60460601.

It is a super-2 number, since 2×1060640602 = 22499169647367200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106064069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160130 + ... + 160790.

It is an arithmetic number, because the mean of its divisors is an integer number (4754484).

Almost surely, 2106064060 is an apocalyptic number.

106064060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106064060 is an abundant number, since it is smaller than the sum of its proper divisors (122151172).

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

106064060 is a wasteful number, since it uses less digits than its factorization.

106064060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 106064060 is about 10298.7406997166. The cubic root of 106064060 is about 473.3576669806.

The spelling of 106064060 in words is "one hundred six million, sixty-four thousand, sixty".

Divisors: 1 2 4 5 10 20 71 113 142 226 284 355 452 565 661 710 1130 1322 1420 2260 2644 3305 6610 8023 13220 16046 32092 40115 46931 74693 80230 93862 149386 160460 187724 234655 298772 373465 469310 746930 938620 1493860 5303203 10606406 21212812 26516015 53032030 106064060