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105436981 = 13531371117
BaseRepresentation
bin1100100100011…
…01011100110101
321100101202100101
412102031130311
5203442440411
614243514101
72420125306
oct622153465
9240352311
10105436981
1154575401
122b388931
1318ac8460
14100087ad
1593ca8c1
hex648d735

105436981 has 16 divisors (see below), whose sum is σ = 116638704. Its totient is φ = 94708224.

The previous prime is 105436979. The next prime is 105436987. The reversal of 105436981 is 189634501.

105436981 is a nontrivial binomial coefficient, being equal to C(14522, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 10666756 + 94770225 = 3266^2 + 9735^2 .

It is not a de Polignac number, because 105436981 - 21 = 105436979 is a prime.

It is a super-2 number, since 2×1054369812 = 22233913924788722, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105436981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105436987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93835 + ... + 94951.

It is an arithmetic number, because the mean of its divisors is an integer number (7289919).

Almost surely, 2105436981 is an apocalyptic number.

105436981 is the 14521-st triangular number and also the 7261-st hexagonal number.

105436981 is the 4841-st centered nonagonal number.

It is an amenable number.

105436981 is a deficient number, since it is larger than the sum of its proper divisors (11201723).

105436981 is a wasteful number, since it uses less digits than its factorization.

105436981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 105436981 is about 10268.2511169137. The cubic root of 105436981 is about 472.4229502126.

The spelling of 105436981 in words is "one hundred five million, four hundred thirty-six thousand, nine hundred eighty-one".

Divisors: 1 13 53 137 689 1117 1781 7261 14521 59201 94393 153029 769613 1989377 8110537 105436981