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106067500640 = 2551063623633
BaseRepresentation
bin110001011001000011…
…1011001111001100000
3101010210000201022101122
41202302013121321200
53214211240010030
6120420550351412
710443310610513
oct1426207317140
9333700638348
10106067500640
1140a8a380142
121868195b568
13a0048804ca
1451c2c00d7a
152b5bc578e5
hex18b21d9e60

106067500640 has 48 divisors (see below), whose sum is σ = 250820605728. Its totient is φ = 42387019776.

The previous prime is 106067500619. The next prime is 106067500687. The reversal of 106067500640 is 46005760601.

It is a super-2 number, since 2×1060675006402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106067500640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141737 + ... + 481896.

It is an arithmetic number, because the mean of its divisors is an integer number (5225429286).

Almost surely, 2106067500640 is an apocalyptic number.

106067500640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106067500640 is an abundant number, since it is smaller than the sum of its proper divisors (144753105088).

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

106067500640 is a wasteful number, since it uses less digits than its factorization.

106067500640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624711 (or 624703 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 106067500640 in words is "one hundred six billion, sixty-seven million, five hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1063 2126 4252 5315 8504 10630 17008 21260 34016 42520 85040 170080 623633 1247266 2494532 3118165 4989064 6236330 9978128 12472660 19956256 24945320 49890640 99781280 662921879 1325843758 2651687516 3314609395 5303375032 6629218790 10606750064 13258437580 21213500128 26516875160 53033750320 106067500640