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106413433 = 7192343809
BaseRepresentation
bin1100101011110…
…11110101111001
321102020100210021
412111323311321
5204220212213
614320450441
72431333150
oct625736571
9242210707
10106413433
1155081a95
122b779a21
131907aa39
14101c0597
15951ed8d
hex657bd79

106413433 has 32 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 80631936.

The previous prime is 106413431. The next prime is 106413481. The reversal of 106413433 is 334314601.

It is a happy number.

It is not a de Polignac number, because 106413433 - 21 = 106413431 is a prime.

It is a super-2 number, since 2×1064134332 = 22647637445690978, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106413398 and 106413407.

It is not an unprimeable number, because it can be changed into a prime (106413431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131133 + ... + 131941.

It is an arithmetic number, because the mean of its divisors is an integer number (4276800).

Almost surely, 2106413433 is an apocalyptic number.

It is an amenable number.

106413433 is a deficient number, since it is larger than the sum of its proper divisors (30444167).

106413433 is a wasteful number, since it uses less digits than its factorization.

106413433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 106413433 is about 10315.6886827783. The cubic root of 106413433 is about 473.8768410701.

The spelling of 106413433 in words is "one hundred six million, four hundred thirteen thousand, four hundred thirty-three".

Divisors: 1 7 19 23 43 133 161 301 437 809 817 989 3059 5663 5719 6923 15371 18607 18791 34787 107597 130249 131537 243509 353533 660953 800101 2474731 4626671 5600707 15201919 106413433