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105212757861 = 32311971914247
BaseRepresentation
bin110000111111100101…
…0110100011101100101
3101001120110100212201200
41201333022310131211
53210433431222421
6120200054313113
710413161454201
oct1417712643545
9331513325650
10105212757861
114069094a252
1218483658799
139bc9771553
1451414a5b01
152b0bbba726
hex187f2b4765

105212757861 has 24 divisors (see below), whose sum is σ = 157672779264. Its totient is φ = 67534598880.

The previous prime is 105212757841. The next prime is 105212757883. The reversal of 105212757861 is 168757212501.

105212757861 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 12 + 7 + 578 + 61 = 666.

It is not a de Polignac number, because 105212757861 - 25 = 105212757829 is a prime.

It is a super-2 number, since 2×1052127578612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105212757841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902161 + ... + 1012086.

It is an arithmetic number, because the mean of its divisors is an integer number (6569699136).

Almost surely, 2105212757861 is an apocalyptic number.

It is an amenable number.

105212757861 is a deficient number, since it is larger than the sum of its proper divisors (52460021403).

105212757861 is a wasteful number, since it uses less digits than its factorization.

105212757861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914481 (or 1914478 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 105212757861 in words is "one hundred five billion, two hundred twelve million, seven hundred fifty-seven thousand, eight hundred sixty-one".

Divisors: 1 3 9 31 93 197 279 591 1773 6107 18321 54963 1914247 5742741 17228223 59341657 178024971 377106659 534074913 1131319977 3393959931 11690306429 35070919287 105212757861