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106054850 = 252111511277
BaseRepresentation
bin1100101001001…
…00010011000010
321101120010220102
412110210103002
5204122223400
614305042402
72425310546
oct624442302
9241503812
10106054850
1154957640
122b626402
1318c83765
1410129a26
15949d9d5
hex65244c2

106054850 has 48 divisors (see below), whose sum is σ = 216789696. Its totient is φ = 38280000.

The previous prime is 106054841. The next prime is 106054859. The reversal of 106054850 is 58450601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106054841) and next prime (106054859).

It is a super-2 number, since 2×1060548502 = 22495262417045000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106054859) 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, 82412 + ... + 83688.

It is an arithmetic number, because the mean of its divisors is an integer number (4516452).

Almost surely, 2106054850 is an apocalyptic number.

106054850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106054850 is an abundant number, since it is smaller than the sum of its proper divisors (110734846).

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

106054850 is a wasteful number, since it uses less digits than its factorization.

106054850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 106054850 is about 10298.2935479622. The cubic root of 106054850 is about 473.3439653544.

The spelling of 106054850 in words is "one hundred six million, fifty-four thousand, eight hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 151 275 302 550 755 1277 1510 1661 2554 3322 3775 6385 7550 8305 12770 14047 16610 28094 31925 41525 63850 70235 83050 140470 192827 351175 385654 702350 964135 1928270 2121097 4242194 4820675 9641350 10605485 21210970 53027425 106054850