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106307055696 = 24331719513581
BaseRepresentation
bin110001100000001100…
…1001111000001010000
3101011101201110222011010
41203000121033001100
53220204101240241
6120500425050520
710452250030662
oct1430031170120
9334351428133
10106307055696
11410a261a426
121872a026a40
13a0423a696a
14520695c532
152b72cc6d16
hex18c064f050

106307055696 has 80 divisors (see below), whose sum is σ = 275711067648. Its totient is φ = 35295936000.

The previous prime is 106307055683. The next prime is 106307055713. The reversal of 106307055696 is 696550703601.

It is a super-2 number, since 2×1063070556962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 29684626 + ... + 29688206.

Almost surely, 2106307055696 is an apocalyptic number.

106307055696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106307055696 is an abundant number, since it is smaller than the sum of its proper divisors (169404011952).

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

106307055696 is a wasteful number, since it uses less digits than its factorization.

106307055696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The spelling of 106307055696 in words is "one hundred six billion, three hundred seven million, fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 317 634 951 1268 1902 1951 2536 3581 3804 3902 5072 5853 7162 7608 7804 10743 11706 14324 15216 15608 21486 23412 28648 31216 42972 46824 57296 85944 93648 171888 618467 1135177 1236934 1855401 2270354 2473868 3405531 3710802 4540708 4947736 6811062 6986531 7421604 9081416 9895472 13622124 13973062 14843208 18162832 20959593 27244248 27946124 29686416 41919186 54488496 55892248 83838372 111784496 167676744 335353488 2214730327 4429460654 6644190981 8858921308 13288381962 17717842616 26576763924 35435685232 53153527848 106307055696