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106943040 = 2632571523
BaseRepresentation
bin1100101111111…
…01001001000000
321110020021021100
412113331021000
5204334134130
614340054400
72436000201
oct627751100
9243207240
10106943040
1155403986
122b994400
1319204b09
14102bb5a8
1595c6c60
hex65fd240

106943040 has 168 divisors, whose sum is σ = 373733568. Its totient is φ = 28062720.

The previous prime is 106943003. The next prime is 106943041. The reversal of 106943040 is 40349601.

It is a super-2 number, since 2×1069430402 = 22873627608883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106942995 and 106943013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106943041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 204219 + ... + 204741.

Almost surely, 2106943040 is an apocalyptic number.

106943040 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 106943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186866784).

106943040 is an abundant number, since it is smaller than the sum of its proper divisors (266790528).

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

106943040 is a wasteful number, since it uses less digits than its factorization.

106943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106943040 is about 10341.3268007543. The cubic root of 106943040 is about 474.6616833771.

The spelling of 106943040 in words is "one hundred six million, nine hundred forty-three thousand, forty".