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105778244 = 221113199733
BaseRepresentation
bin1100100111000…
…00110001000100
321101001002110202
412103200301010
5204034400434
614255110032
72423046245
oct623406104
9241032422
10105778244
1154788840
122b512318
1318bb78a0
1410096ccc
159446a7e
hex64e0c44

105778244 has 48 divisors (see below), whose sum is σ = 228943680. Its totient is φ = 42042240.

The previous prime is 105778223. The next prime is 105778261. The reversal of 105778244 is 442877501.

It is a super-2 number, since 2×1057782442 = 22378073807447072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 105778198 and 105778207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6002 + ... + 15734.

It is an arithmetic number, because the mean of its divisors is an integer number (4769660).

Almost surely, 2105778244 is an apocalyptic number.

It is an amenable number.

105778244 is an abundant number, since it is smaller than the sum of its proper divisors (123165436).

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

105778244 is a wasteful number, since it uses less digits than its factorization.

105778244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 105778244 is about 10284.8550791929. The cubic root of 105778244 is about 472.9320911407.

The spelling of 105778244 in words is "one hundred five million, seven hundred seventy-eight thousand, two hundred forty-four".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 143 209 247 286 418 494 572 836 988 2717 5434 9733 10868 19466 38932 107063 126529 184927 214126 253058 369854 428252 506116 739708 1391819 2034197 2404051 2783638 4068394 4808102 5567276 8136788 9616204 26444561 52889122 105778244