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105412552540 = 2257017518727
BaseRepresentation
bin110001000101100010…
…0111110011101011100
3101002002101022111111121
41202023010332131130
53211341103140130
6120231552500324
710421135625031
oct1421304763534
9332071274447
10105412552540
1140783701a19
121851a54a6a4
139c2bc86259
14515dc33388
152b1e4d3d7a
hex188b13e75c

105412552540 has 24 divisors (see below), whose sum is σ = 221682176352. Its totient is φ = 42104865600.

The previous prime is 105412552519. The next prime is 105412552541. The reversal of 105412552540 is 45255214501.

It is a super-2 number, since 2×1054125525402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105412552496 and 105412552505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105412552541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3745344 + ... + 3773383.

It is an arithmetic number, because the mean of its divisors is an integer number (9236757348).

Almost surely, 2105412552540 is an apocalyptic number.

105412552540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105412552540 is an abundant number, since it is smaller than the sum of its proper divisors (116269623812).

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

105412552540 is a wasteful number, since it uses less digits than its factorization.

105412552540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7519437 (or 7519435 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 105412552540 in words is "one hundred five billion, four hundred twelve million, five hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 701 1402 2804 3505 7010 14020 7518727 15037454 30074908 37593635 75187270 150374540 5270627627 10541255254 21082510508 26353138135 52706276270 105412552540