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106445817 = 32232332207
BaseRepresentation
bin1100101100000…
…11101111111001
321102022000012200
412112003233321
5204222231232
614321300413
72431526442
oct626035771
9242260180
10106445817
11550a4355
122b794709
131908c6ba
14101cc2c9
15952977c
hex6583bf9

106445817 has 24 divisors (see below), whose sum is σ = 161201664. Its totient is φ = 67556544.

The previous prime is 106445797. The next prime is 106445821. The reversal of 106445817 is 718544601.

It is a happy number.

106445817 is a `hidden beast` number, since 1 + 0 + 644 + 5 + 8 + 1 + 7 = 666.

It is not a de Polignac number, because 106445817 - 223 = 98057209 is a prime.

It is a super-2 number, since 2×1064458172 = 22661423913594978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106445897) 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, 47128 + ... + 49334.

It is an arithmetic number, because the mean of its divisors is an integer number (6716736).

Almost surely, 2106445817 is an apocalyptic number.

It is an amenable number.

106445817 is a deficient number, since it is larger than the sum of its proper divisors (54755847).

106445817 is a wasteful number, since it uses less digits than its factorization.

106445817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 106445817 is about 10317.2582113660. The cubic root of 106445817 is about 473.9249066534.

It can be divided in two parts, 10644 and 5817, that added together give a palindrome (16461).

The spelling of 106445817 in words is "one hundred six million, four hundred forty-five thousand, eight hundred seventeen".

Divisors: 1 3 9 23 69 207 233 699 2097 2207 5359 6621 16077 19863 48231 50761 152283 456849 514231 1542693 4628079 11827313 35481939 106445817