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106087512 = 23319123143
BaseRepresentation
bin1100101001011…
…00010001011000
321101121210201010
412110230101120
5204124300022
614305453520
72425505016
oct624542130
9241553633
10106087512
115497a133
122b6412a0
1318c9559b
14101378b6
1594a850c
hex652c458

106087512 has 32 divisors (see below), whose sum is σ = 266618880. Its totient is φ = 35175840.

The previous prime is 106087511. The next prime is 106087517. The reversal of 106087512 is 215780601.

It is a super-2 number, since 2×1060875122 = 22509120404700288, 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 106087512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106087511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6988 + ... + 16155.

It is an arithmetic number, because the mean of its divisors is an integer number (8331840).

Almost surely, 2106087512 is an apocalyptic number.

106087512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106087512 is an abundant number, since it is smaller than the sum of its proper divisors (160531368).

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

106087512 is a wasteful number, since it uses less digits than its factorization.

106087512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23343 (or 23339 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 106087512 is about 10299.8792225929. The cubic root of 106087512 is about 473.3925527088.

The spelling of 106087512 in words is "one hundred six million, eighty-seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 191 382 573 764 1146 1528 2292 4584 23143 46286 69429 92572 138858 185144 277716 555432 4420313 8840626 13260939 17681252 26521878 35362504 53043756 106087512