Search a number
-
+
106340536600 = 23521015264383
BaseRepresentation
bin110001100001001100…
…0111101000100011000
3101011111001110222022121
41203002120331010120
53220241134132400
6120504022431024
710453134434644
oct1430230750430
9334431428277
10106340536600
114110a5080a1
1218739292474
13a0492ca14c
14520b195c24
152b75bdc21a
hex18c263d118

106340536600 has 48 divisors (see below), whose sum is σ = 249689733120. Its totient is φ = 42115056000.

The previous prime is 106340536597. The next prime is 106340536633. The reversal of 106340536600 is 6635043601.

It is a super-2 number, since 2×1063405366002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2611992 + ... + 2652391.

It is an arithmetic number, because the mean of its divisors is an integer number (5201869440).

Almost surely, 2106340536600 is an apocalyptic number.

106340536600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106340536600 is an abundant number, since it is smaller than the sum of its proper divisors (143349196520).

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

106340536600 is a wasteful number, since it uses less digits than its factorization.

106340536600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264500 (or 5264491 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 106340536600 in words is "one hundred six billion, three hundred forty million, five hundred thirty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 5264383 10528766 21057532 26321915 42115064 52643830 105287660 131609575 210575320 263219150 526438300 531702683 1052876600 1063405366 2126810732 2658513415 4253621464 5317026830 10634053660 13292567075 21268107320 26585134150 53170268300 106340536600