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106168320 = 218345
BaseRepresentation
bin1100101010000…
…00000000000000
321101202220120000
412111000000000
5204134341240
614311320000
72426262426
oct625000000
9241686500
10106168320
1154a24915
122b680000
1318cc32bb
1410159116
1594c2430
hex6540000

106168320 has 190 divisors, whose sum is σ = 380632362. Its totient is φ = 28311552.

The previous prime is 106168319. The next prime is 106168331. The reversal of 106168320 is 23861601.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)2 ⋅ (2!)8.

106168320 is a `hidden beast` number, since 10 + 616 + 8 + 32 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 21233664 = 9216^2 + 4608^2 .

It is a super-2 number, since 2×1061683202 = 22543424343244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21233662 + ... + 21233666.

Almost surely, 2106168320 is an apocalyptic number.

106168320 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 106168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190316181).

106168320 is an abundant number, since it is smaller than the sum of its proper divisors (274464042).

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

106168320 is an frugal number, since it uses more digits than its factorization.

106168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106168320 is about 10303.8012403190. The cubic root of 106168320 is about 473.5127182715.

The spelling of 106168320 in words is "one hundred six million, one hundred sixty-eight thousand, three hundred twenty".