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106438815 = 3257337901
BaseRepresentation
bin1100101100000…
…10000010011111
321102021122121100
412112002002133
5204222020230
614321204143
72431500150
oct626020237
9242248540
10106438815
115509a06a
122b790653
1319089462
14101c9927
159527660
hex658209f

106438815 has 24 divisors (see below), whose sum is σ = 210850848. Its totient is φ = 48657600.

The previous prime is 106438807. The next prime is 106438823. The reversal of 106438815 is 518834601.

106438815 is a `hidden beast` number, since 1 + 0 + 643 + 8 + 8 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106438807) and next prime (106438823).

It is not a de Polignac number, because 106438815 - 23 = 106438807 is a prime.

It is a super-2 number, since 2×1064388152 = 22658442677208450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106438815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168636 + ... + 169265.

It is an arithmetic number, because the mean of its divisors is an integer number (8785452).

Almost surely, 2106438815 is an apocalyptic number.

106438815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106438815 is a deficient number, since it is larger than the sum of its proper divisors (104412033).

106438815 is a wasteful number, since it uses less digits than its factorization.

106438815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337919 (or 337916 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 106438815 is about 10316.9188714461. The cubic root of 106438815 is about 473.9145148407.

The spelling of 106438815 in words is "one hundred six million, four hundred thirty-eight thousand, eight hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 337901 1013703 1689505 2365307 3041109 5068515 7095921 11826535 15205545 21287763 35479605 106438815