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106699356 = 223712197
BaseRepresentation
bin1100101110000…
…01101001011100
321102202220000000
412113001221130
5204303334411
614330534300
72433633561
oct627015134
9242686000
10106699356
1155257895
122b897390
131914ac1a
1410256868
159579956
hex65c1a5c

106699356 has 48 divisors (see below), whose sum is σ = 280066080. Its totient is φ = 35563536.

The previous prime is 106699339. The next prime is 106699391. The reversal of 106699356 is 653996601.

It is a super-2 number, since 2×1066993562 = 22769505141629472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2650 + ... + 14846.

It is an arithmetic number, because the mean of its divisors is an integer number (5834710).

Almost surely, 2106699356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106699356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140033040).

106699356 is an abundant number, since it is smaller than the sum of its proper divisors (173366724).

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

106699356 is an equidigital number, since it uses as much as digits as its factorization.

106699356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 106699356 is about 10329.5380342008. The cubic root of 106699356 is about 474.3008825133.

The spelling of 106699356 in words is "one hundred six million, six hundred ninety-nine thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 12197 24394 36591 48788 73182 109773 146364 219546 329319 439092 658638 987957 1317276 1975914 2963871 3951828 5927742 8891613 11855484 17783226 26674839 35566452 53349678 106699356