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106523040 = 25351343397
BaseRepresentation
bin1100101100101…
…10100110100000
321102102221010210
412112112212200
5204232214130
614323054120
72432300541
oct626264640
9242387123
10106523040
1155147378
122b811340
13190b88b0
141020c4c8
1595425b0
hex65969a0

106523040 has 192 divisors, whose sum is σ = 370694016. Its totient is φ = 25546752.

The previous prime is 106523029. The next prime is 106523077. The reversal of 106523040 is 40325601.

It is a happy number.

It is a Cunningham number, because it is equal to 103212-1.

It is a super-2 number, since 2×1065230402 = 22694316101683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106522998 and 106523016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268122 + ... + 268518.

It is an arithmetic number, because the mean of its divisors is an integer number (1930698).

Almost surely, 2106523040 is an apocalyptic number.

106523040 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 106523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185347008).

106523040 is an abundant number, since it is smaller than the sum of its proper divisors (264170976).

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

106523040 is a wasteful number, since it uses less digits than its factorization.

106523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 106523040 is about 10320.9999515551. Note that the first 4 decimals coincide. The cubic root of 106523040 is about 474.0394846846.

Adding to 106523040 its reverse (40325601), we get a palindrome (146848641).

The spelling of 106523040 in words is "one hundred six million, five hundred twenty-three thousand, forty".