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106438045 = 573531171
BaseRepresentation
bin1100101100000…
…01110110011101
321102021121112211
412112001312131
5204222004140
614321200421
72431465000
oct626016635
9242247484
10106438045
115509952a
122b790111
1319088cbc
14101c9537
1595272ea
hex6581d9d

106438045 has 32 divisors (see below), whose sum is σ = 151891200. Its totient is φ = 71547840.

The previous prime is 106438027. The next prime is 106438049. The reversal of 106438045 is 540834601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-106438045 is a prime.

It is a super-2 number, since 2×1064380452 = 22658114846844050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106437998 and 106438016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106438049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90310 + ... + 91480.

It is an arithmetic number, because the mean of its divisors is an integer number (4746600).

Almost surely, 2106438045 is an apocalyptic number.

It is an amenable number.

106438045 is a deficient number, since it is larger than the sum of its proper divisors (45453155).

106438045 is an equidigital number, since it uses as much as digits as its factorization.

106438045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 106438045 is about 10316.8815540356. The cubic root of 106438045 is about 473.9133720400.

The spelling of 106438045 in words is "one hundred six million, four hundred thirty-eight thousand, forty-five".

Divisors: 1 5 7 35 49 53 245 265 343 371 1171 1715 1855 2597 5855 8197 12985 18179 40985 57379 62063 90895 286895 310315 401653 434441 2008265 2172205 3041087 15205435 21287609 106438045