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106577993 = 379728069
BaseRepresentation
bin1100101101001…
…00000001001001
321102112201112002
412112210001021
5204240443433
614324200345
72432620004
oct626440111
9242481462
10106577993
1155184695
122b8390b5
1319107902
141022453b
1595539e8
hex65a4049

106577993 has 4 divisors (see below), whose sum is σ = 106609860. Its totient is φ = 106546128.

The previous prime is 106577963. The next prime is 106578001. The reversal of 106577993 is 399775601.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6017209 + 100560784 = 2453^2 + 10028^2 .

It is a cyclic number.

It is not a de Polignac number, because 106577993 - 212 = 106573897 is a prime.

It is a super-2 number, since 2×1065779932 = 22717737183816098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106577903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10238 + ... + 17831.

It is an arithmetic number, because the mean of its divisors is an integer number (26652465).

Almost surely, 2106577993 is an apocalyptic number.

It is an amenable number.

106577993 is a deficient number, since it is larger than the sum of its proper divisors (31867).

106577993 is an equidigital number, since it uses as much as digits as its factorization.

106577993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31866.

The product of its (nonzero) digits is 357210, while the sum is 47.

The square root of 106577993 is about 10323.6618018996. The cubic root of 106577993 is about 474.1209863439.

The spelling of 106577993 in words is "one hundred six million, five hundred seventy-seven thousand, nine hundred ninety-three".

Divisors: 1 3797 28069 106577993