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106507921489 = 7971106912073
BaseRepresentation
bin110001100110001011…
…1011110100001010001
3101011220201110000012221
41203030113132201101
53221112011441424
6120532402221041
710460236252354
oct1431427364121
9334821400187
10106507921489
1141195a43912
1218785354781
13a074ba5068
1452254c829b
152b857529e4
hex18cc5de851

106507921489 has 8 divisors (see below), whose sum is σ = 106660025640. Its totient is φ = 106355865216.

The previous prime is 106507921451. The next prime is 106507921517. The reversal of 106507921489 is 984129705601.

It can be written as a sum of positive squares in 4 ways, for example, as 3199033600 + 103308887889 = 56560^2 + 321417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106507921489 - 27 = 106507921361 is a prime.

It is a super-2 number, since 2×1065079214892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106507921189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8815957 + ... + 8828029.

It is an arithmetic number, because the mean of its divisors is an integer number (13332503205).

Almost surely, 2106507921489 is an apocalyptic number.

It is an amenable number.

106507921489 is a deficient number, since it is larger than the sum of its proper divisors (152104151).

106507921489 is a wasteful number, since it uses less digits than its factorization.

106507921489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23939.

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 106507921489 in words is "one hundred six billion, five hundred seven million, nine hundred twenty-one thousand, four hundred eighty-nine".

Divisors: 1 797 11069 12073 8821993 9622181 133636037 106507921489