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105934998 = 231331193227
BaseRepresentation
bin1100101000001…
…11000010010110
321101100001111110
412110013002112
5204104404443
614302315450
72424301251
oct624070226
9241301443
10105934998
1154885594
122b588b86
1318c41040
14100d8098
159478233
hex6507096

105934998 has 64 divisors (see below), whose sum is σ = 237791232. Its totient is φ = 31242240.

The previous prime is 105934991. The next prime is 105935003. The reversal of 105934998 is 899439501.

It is a super-2 number, since 2×1059349982 = 22444447602520008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105934991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466561 + ... + 466787.

It is an arithmetic number, because the mean of its divisors is an integer number (3715488).

Almost surely, 2105934998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105934998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118895616).

105934998 is an abundant number, since it is smaller than the sum of its proper divisors (131856234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105934998 is a wasteful number, since it uses less digits than its factorization.

105934998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 105934998 is about 10292.4728807027. The cubic root of 105934998 is about 473.1655903440.

The spelling of 105934998 in words is "one hundred five million, nine hundred thirty-four thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 193 227 386 403 454 579 681 806 1158 1209 1362 2418 2509 2951 5018 5902 5983 7037 7527 8853 11966 14074 15054 17706 17949 21111 35898 42222 43811 77779 87622 91481 131433 155558 182962 233337 262866 274443 466674 548886 569543 1139086 1358141 1708629 2716282 3417258 4074423 8148846 17655833 35311666 52967499 105934998