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106825919 = 373538179
BaseRepresentation
bin1100101111000…
…00100010111111
321110000022121112
412113200202333
5204321412134
614333352235
72435001554
oct627404277
9243008545
10106825919
1155333992
122b93867b
1319193705
141028aa2b
1595a21ce
hex65e08bf

106825919 has 8 divisors (see below), whose sum is σ = 110037360. Its totient is φ = 103631616.

The previous prime is 106825891. The next prime is 106825949. The reversal of 106825919 is 919528601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106825919 - 212 = 106821823 is a prime.

It is a super-2 number, since 2×1068259192 = 22823553940389122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106825949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8972 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (13754670).

Almost surely, 2106825919 is an apocalyptic number.

106825919 is a deficient number, since it is larger than the sum of its proper divisors (3211441).

106825919 is an equidigital number, since it uses as much as digits as its factorization.

106825919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8569.

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 106825919 is about 10335.6624848144. The cubic root of 106825919 is about 474.4883413876.

The spelling of 106825919 in words is "one hundred six million, eight hundred twenty-five thousand, nine hundred nineteen".

Divisors: 1 37 353 8179 13061 302623 2887187 106825919