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106324022660 = 22589429713901
BaseRepresentation
bin110001100000101100…
…1111101010110000100
3101011102220101222110012
41203001121331112010
53220222422211120
6120502232445352
710452544165232
oct1430131752604
9334386358405
10106324022660
1141101158a09
1218733849858
13a045a6769b
145208cd7952
152b745291c5
hex18c167d584

106324022660 has 48 divisors (see below), whose sum is σ = 225858008880. Its totient is φ = 42038937600.

The previous prime is 106324022633. The next prime is 106324022669. The reversal of 106324022660 is 66220423601.

It can be written as a sum of positive squares in 8 ways, for example, as 251349316 + 106072673344 = 15854^2 + 325688^2 .

It is a super-2 number, since 2×1063240226602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106324022669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7641710 + ... + 7655610.

It is an arithmetic number, because the mean of its divisors is an integer number (4705375185).

Almost surely, 2106324022660 is an apocalyptic number.

106324022660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106324022660 is an abundant number, since it is smaller than the sum of its proper divisors (119533986220).

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

106324022660 is a wasteful number, since it uses less digits than its factorization.

106324022660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18296 (or 18294 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 106324022660 in words is "one hundred six billion, three hundred twenty-four million, twenty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 4297 8594 13901 17188 21485 27802 42970 55604 69505 85940 139010 278020 382433 764866 1237189 1529732 1912165 2474378 3824330 4948756 6185945 7648660 12371890 24743780 59732597 119465194 238930388 298662985 597325970 1194651940 5316201133 10632402266 21264804532 26581005665 53162011330 106324022660