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106100525765 = 51347139249857
BaseRepresentation
bin110001011010000010…
…1011000101011000101
3101010212022212011100102
41202310011120223011
53214243213311030
6120424130253445
710444161405623
oct1426405305305
9333768764312
10106100525765
1140aa6a87433
1218690a27285
13a00b6743c0
1451c735a513
152b5eaccc45
hex18b4158ac5

106100525765 has 32 divisors (see below), whose sum is σ = 141039843840. Its totient is φ = 76132122624.

The previous prime is 106100525761. The next prime is 106100525803. The reversal of 106100525765 is 567525001601.

It is a cyclic number.

It is not a de Polignac number, because 106100525765 - 22 = 106100525761 is a prime.

It is a super-2 number, since 2×1061005257652 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106100525761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299717 + ... + 549573.

It is an arithmetic number, because the mean of its divisors is an integer number (4407495120).

Almost surely, 2106100525765 is an apocalyptic number.

It is an amenable number.

106100525765 is a deficient number, since it is larger than the sum of its proper divisors (34939318075).

106100525765 is a wasteful number, since it uses less digits than its factorization.

106100525765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250061.

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 106100525765 in words is "one hundred six billion, one hundred million, five hundred twenty-five thousand, seven hundred sixty-five".

Divisors: 1 5 13 47 65 139 235 611 695 1807 3055 6533 9035 32665 84929 249857 424645 1249285 3248141 11743279 16240705 34730123 58716395 152662627 173650615 451491599 763313135 1632315781 2257457995 8161578905 21220105153 106100525765