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106454985 = 35713167467
BaseRepresentation
bin1100101100001…
…01111111001001
321102022110210020
412112011333021
5204223024420
614321411053
72431565250
oct626057711
9242273706
10106454985
115510022a
122b799a89
1319093920
14101d1797
15952c340
hex6585fc9

106454985 has 64 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 44557056.

The previous prime is 106454981. The next prime is 106454993. The reversal of 106454985 is 589454601.

It is not a de Polignac number, because 106454985 - 22 = 106454981 is a prime.

It is a super-2 number, since 2×1064549852 = 22665327662700450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106454981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227722 + ... + 228188.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2106454985 is an apocalyptic number.

106454985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106454985 is a deficient number, since it is larger than the sum of its proper divisors (104886327).

106454985 is a wasteful number, since it uses less digits than its factorization.

106454985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 106454985 is about 10317.7025058876. The cubic root of 106454985 is about 473.9385123823.

The spelling of 106454985 in words is "one hundred six million, four hundred fifty-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 167 195 273 455 467 501 835 1169 1365 1401 2171 2335 2505 3269 3507 5845 6071 6513 7005 9807 10855 15197 16345 17535 18213 30355 32565 42497 45591 49035 75985 77989 91065 127491 212485 227955 233967 389945 545923 637455 1013857 1169835 1637769 2729615 3041571 5069285 7096999 8188845 15207855 21290997 35484995 106454985