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106297196643 = 33111918837001
BaseRepresentation
bin110001011111111001…
…1101000000001100011
3101011101000221002002000
41202333303220001203
53220144040243033
6120455433455043
710452100156251
oct1427763500143
9334330832060
10106297196643
1141097aa6150
1218726871483
13a0403342c1
1452055135d1
152b71ecaa13
hex18bfce8063

106297196643 has 32 divisors (see below), whose sum is σ = 180835219200. Its totient is φ = 61031880000.

The previous prime is 106297196609. The next prime is 106297196669. The reversal of 106297196643 is 346691792601.

106297196643 is a `hidden beast` number, since 1 + 0 + 629 + 7 + 1 + 9 + 6 + 6 + 4 + 3 = 666.

It is not a de Polignac number, because 106297196643 - 229 = 105760325731 is a prime.

It is a super-2 number, since 2×1062971966432 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106297196643.

It is not an unprimeable number, because it can be changed into a prime (106297196693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9412858 + ... + 9424143.

It is an arithmetic number, because the mean of its divisors is an integer number (5651100600).

Almost surely, 2106297196643 is an apocalyptic number.

106297196643 is a deficient number, since it is larger than the sum of its proper divisors (74538022557).

106297196643 is a wasteful number, since it uses less digits than its factorization.

106297196643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837040 (or 18837034 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 106297196643 in words is "one hundred six billion, two hundred ninety-seven million, one hundred ninety-six thousand, six hundred forty-three".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 5643 18837001 56511003 169533009 207207011 357903019 508599027 621621033 1073709057 1864863099 3221127171 3936933209 5594589297 9663381513 11810799627 35432398881 106297196643