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105426426 = 23729101857
BaseRepresentation
bin1100100100010…
…10110111111010
321100101012212110
412102022313322
5203442121201
614243353150
72420052450
oct622126772
9240335773
10105426426
1154568486
122b3827b6
1318ac3701
14100049d0
1593c76d6
hex648adfa

105426426 has 64 divisors (see below), whose sum is σ = 252046080. Its totient is φ = 28761600.

The previous prime is 105426413. The next prime is 105426437. The reversal of 105426426 is 624624501.

It is a super-2 number, since 2×1054264262 = 22229462598266952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105426393 and 105426402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122590 + ... + 123446.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 2105426426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105426426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126023040).

105426426 is an abundant number, since it is smaller than the sum of its proper divisors (146619654).

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

105426426 is a wasteful number, since it uses less digits than its factorization.

105426426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 105426426 is about 10267.7371411621. The cubic root of 105426426 is about 472.4071853751.

The spelling of 105426426 in words is "one hundred five million, four hundred twenty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 101 174 202 203 303 406 606 609 707 857 1218 1414 1714 2121 2571 2929 4242 5142 5858 5999 8787 11998 17574 17997 20503 24853 35994 41006 49706 61509 74559 86557 123018 149118 173114 173971 259671 347942 519342 521913 605899 1043826 1211798 1817697 2510153 3635394 5020306 7530459 15060918 17571071 35142142 52713213 105426426