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106460016 = 24313170609
BaseRepresentation
bin1100101100001…
…11001101110000
321102022201200120
412112013031300
5204223210031
614321450240
72431616025
oct626071560
9242281616
10106460016
1155103a93
122b7a0980
1319095cc0
14101d354c
15952da96
hex6587370

106460016 has 40 divisors (see below), whose sum is σ = 296178960. Its totient is φ = 32756736.

The previous prime is 106460009. The next prime is 106460023. The reversal of 106460016 is 610064601.

It is an interprime number because it is at equal distance from previous prime (106460009) and next prime (106460023).

It is a super-2 number, since 2×1064600162 = 22667470013440512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 84681 + ... + 85928.

It is an arithmetic number, because the mean of its divisors is an integer number (7404474).

Almost surely, 2106460016 is an apocalyptic number.

106460016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106460016 is an abundant number, since it is smaller than the sum of its proper divisors (189718944).

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

106460016 is a wasteful number, since it uses less digits than its factorization.

106460016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170633 (or 170627 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106460016 is about 10317.9463072842. The cubic root of 106460016 is about 473.9459782832.

The spelling of 106460016 in words is "one hundred six million, four hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 170609 341218 511827 682436 1023654 1364872 2047308 2217917 2729744 4094616 4435834 6653751 8189232 8871668 13307502 17743336 26615004 35486672 53230008 106460016