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106265006051 = 3131371092733
BaseRepresentation
bin110001011110111100…
…0110100111111100011
3101011021210100121212212
41202331320310333203
53220112320143201
6120452323512335
710451226435161
oct1427570647743
9334253317785
10106265006051
1141080909956
1218717b286ab
13a036773209
145201134231
152b6e26cabb
hex18bde34fe3

106265006051 has 8 divisors (see below), whose sum is σ = 109727977344. Its totient is φ = 102804226560.

The previous prime is 106265006039. The next prime is 106265006173. The reversal of 106265006051 is 150600562601.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106265006051 is a prime.

It is a super-2 number, since 2×1062650060512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106265005999 and 106265006017.

It is not an unprimeable number, because it can be changed into a prime (106265006651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449120 + ... + 643613.

It is an arithmetic number, because the mean of its divisors is an integer number (13715997168).

Almost surely, 2106265006051 is an apocalyptic number.

106265006051 is a deficient number, since it is larger than the sum of its proper divisors (3462971293).

106265006051 is a wasteful number, since it uses less digits than its factorization.

106265006051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095901.

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 106265006051 its reverse (150600562601), we get a palindrome (256865568652).

The spelling of 106265006051 in words is "one hundred six billion, two hundred sixty-five million, six thousand, fifty-one".

Divisors: 1 31 3137 97247 1092733 33874723 3427903421 106265006051