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106693020 = 223257172293
BaseRepresentation
bin1100101110000…
…00000110011100
321102202120022100
412113000012130
5204303134040
614330445100
72433606240
oct627000634
9242676270
10106693020
1155253055
122b893790
1319148085
1410254420
159577b30
hex65c019c

106693020 has 216 divisors, whose sum is σ = 394246944. Its totient is φ = 22874112.

The previous prime is 106693009. The next prime is 106693031. The reversal of 106693020 is 20396601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106693009) and next prime (106693031).

It is a super-2 number, since 2×1066930202 = 22766801033440800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 363994 + ... + 364286.

Almost surely, 2106693020 is an apocalyptic number.

106693020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106693020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197123472).

106693020 is an abundant number, since it is smaller than the sum of its proper divisors (287553924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106693020 is a wasteful number, since it uses less digits than its factorization.

106693020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106693020 is about 10329.2313363580. The cubic root of 106693020 is about 474.2914940472.

It can be divided in two parts, 10669 and 3020, that added together give a square (13689 = 1172).

The spelling of 106693020 in words is "one hundred six million, six hundred ninety-three thousand, twenty".