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105726680380 = 22513037405487
BaseRepresentation
bin110001001110111001…
…1010001110100111100
3101002220021101211220001
41202131303101310330
53213012012233010
6120323053404044
710432001645446
oct1423563216474
9332807354801
10105726680380
1140924a55902
12185a7799624
139c7c08c709
14518d843496
152b3bd83c3a
hex189dcd1d3c

105726680380 has 24 divisors (see below), whose sum is σ = 222043606848. Its totient is φ = 42287323968.

The previous prime is 105726680377. The next prime is 105726680407. The reversal of 105726680380 is 83086627501.

It is a super-2 number, since 2×1057266803802 (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 105726680380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57997 + ... + 463483.

It is an arithmetic number, because the mean of its divisors is an integer number (9251816952).

Almost surely, 2105726680380 is an apocalyptic number.

105726680380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105726680380 is an abundant number, since it is smaller than the sum of its proper divisors (116316926468).

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

105726680380 is a wasteful number, since it uses less digits than its factorization.

105726680380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418533 (or 418531 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 105726680380 in words is "one hundred five billion, seven hundred twenty-six million, six hundred eighty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 13037 26074 52148 65185 130370 260740 405487 810974 1621948 2027435 4054870 8109740 5286334019 10572668038 21145336076 26431670095 52863340190 105726680380