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106451025 = 35217292879
BaseRepresentation
bin1100101100001…
…01000001010001
321102022021100120
412112011001101
5204222413100
614321340453
72431550562
oct626050121
9242267316
10106451025
11550a825a
122b797729
1319091b95
14101d0169
15952b0a0
hex6585051

106451025 has 48 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 51573760.

The previous prime is 106451003. The next prime is 106451027. The reversal of 106451025 is 520154601.

It is not a de Polignac number, because 106451025 - 212 = 106446929 is a prime.

It is a super-2 number, since 2×1064510252 = 22663641447101250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106450986 and 106451004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106451027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35536 + ... + 38414.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2106451025 is an apocalyptic number.

106451025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106451025 is a deficient number, since it is larger than the sum of its proper divisors (86393775).

106451025 is a wasteful number, since it uses less digits than its factorization.

106451025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 106451025 is about 10317.5106009153. The cubic root of 106451025 is about 473.9326356581.

The spelling of 106451025 in words is "one hundred six million, four hundred fifty-one thousand, twenty-five".

Divisors: 1 3 5 15 17 25 29 51 75 85 87 145 255 425 435 493 725 1275 1479 2175 2465 2879 7395 8637 12325 14395 36975 43185 48943 71975 83491 146829 215925 244715 250473 417455 734145 1223575 1252365 1419347 2087275 3670725 4258041 6261825 7096735 21290205 35483675 106451025