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106082405537 = 1514451157837
BaseRepresentation
bin110001011001100000…
…0010000110010100001
3101010211001202120001212
41202303000100302201
53214224043434122
6120422242035505
710443551366153
oct1426300206241
9333731676055
10106082405537
1140a97830439
1218686948b95
13a00799b784
1451c4ba0ad3
152b5d1edce2
hex18b3010ca1

106082405537 has 8 divisors (see below), whose sum is σ = 106809605952. Its totient is φ = 105355530000.

The previous prime is 106082405503. The next prime is 106082405567. The reversal of 106082405537 is 735504280601.

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 106082405537 - 218 = 106082143393 is a prime.

It is a super-2 number, since 2×1060824055372 (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 = 106082405494 and 106082405503.

It is not an unprimeable number, because it can be changed into a prime (106082405567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 593183 + ... + 751019.

It is an arithmetic number, because the mean of its divisors is an integer number (13351200744).

Almost surely, 2106082405537 is an apocalyptic number.

It is an amenable number.

106082405537 is a deficient number, since it is larger than the sum of its proper divisors (727200415).

106082405537 is a wasteful number, since it uses less digits than its factorization.

106082405537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162439.

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 106082405537 in words is "one hundred six billion, eighty-two million, four hundred five thousand, five hundred thirty-seven".

Divisors: 1 151 4451 157837 672101 23833387 702532487 106082405537