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106315905380 = 22547198756921
BaseRepresentation
bin110001100000011101…
…0111111100101100100
3101011102100010120122012
41203000322333211210
53220213332433010
6120501342453352
710452415166546
oct1430072774544
9334370116565
10106315905380
11410a7614313
1218730b94258
13a044184a69
145207bc3696
152b73974005
hex18c0ebf964

106315905380 has 48 divisors (see below), whose sum is σ = 228132446976. Its totient is φ = 41599868160.

The previous prime is 106315905361. The next prime is 106315905439. The reversal of 106315905380 is 83509513601.

It is a super-2 number, since 2×1063159053802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1839320 + ... + 1896240.

It is an arithmetic number, because the mean of its divisors is an integer number (4752759312).

Almost surely, 2106315905380 is an apocalyptic number.

106315905380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106315905380 is an abundant number, since it is smaller than the sum of its proper divisors (121816541596).

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

106315905380 is a wasteful number, since it uses less digits than its factorization.

106315905380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58964 (or 58962 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 106315905380 in words is "one hundred six billion, three hundred fifteen million, nine hundred five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 1987 3974 7948 9935 19870 39740 56921 93389 113842 186778 227684 284605 373556 466945 569210 933890 1138420 1867780 2675287 5350574 10701148 13376435 26752870 53505740 113102027 226204054 452408108 565510135 1131020270 2262040540 5315795269 10631590538 21263181076 26578976345 53157952690 106315905380