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106340064 = 2537731433
BaseRepresentation
bin1100101011010…
…01111011100000
321102002122010220
412111221323200
5204210340224
614315123040
72430606225
oct625517340
9242078126
10106340064
1155031956
122b743480
131905351c
14101a194c
159508279
hex6569ee0

106340064 has 48 divisors (see below), whose sum is σ = 279698832. Its totient is φ = 35376128.

The previous prime is 106340053. The next prime is 106340077. The reversal of 106340064 is 460043601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1063400642 = 22616418423048192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73492 + ... + 74924.

It is an arithmetic number, because the mean of its divisors is an integer number (5827059).

Almost surely, 2106340064 is an apocalyptic number.

It is an amenable number.

106340064 is an abundant number, since it is smaller than the sum of its proper divisors (173358768).

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

106340064 is a wasteful number, since it uses less digits than its factorization.

106340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106340064 is about 10312.1318843390. The cubic root of 106340064 is about 473.7679078821.

Adding to 106340064 its reverse (460043601), we get a palindrome (566383665).

The spelling of 106340064 in words is "one hundred six million, three hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 773 1433 1546 2319 2866 3092 4299 4638 5732 6184 8598 9276 11464 12368 17196 18552 22928 24736 34392 37104 45856 68784 74208 137568 1107709 2215418 3323127 4430836 6646254 8861672 13292508 17723344 26585016 35446688 53170032 106340064