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105978801 = 3311139557
BaseRepresentation
bin1100101000100…
…01101110110001
321101102021120210
412110101232301
5204112310201
614303254333
72424543045
oct624215661
9241367523
10105978801
1154905495
122b5aa3a9
1318c57c66
141010a025
1594861d6
hex6511bb1

105978801 has 8 divisors (see below), whose sum is σ = 145863424. Its totient is φ = 68373360.

The previous prime is 105978773. The next prime is 105978811. The reversal of 105978801 is 108879501.

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

It is not a de Polignac number, because 105978801 - 211 = 105976753 is a prime.

It is a super-2 number, since 2×1059788012 = 22463012522795202, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105978801.

It is not an unprimeable number, because it can be changed into a prime (105978811) 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, 569686 + ... + 569871.

It is an arithmetic number, because the mean of its divisors is an integer number (18232928).

Almost surely, 2105978801 is an apocalyptic number.

It is an amenable number.

105978801 is a deficient number, since it is larger than the sum of its proper divisors (39884623).

105978801 is a wasteful number, since it uses less digits than its factorization.

105978801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139591.

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 105978801 is about 10294.6005750588. The cubic root of 105978801 is about 473.2307976779.

The spelling of 105978801 in words is "one hundred five million, nine hundred seventy-eight thousand, eight hundred one".

Divisors: 1 3 31 93 1139557 3418671 35326267 105978801