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106814790135 = 32514991583497
BaseRepresentation
bin110001101111010101…
…0000101100111110111
3101012201002212112212100
41203132222011213313
53222224041241020
6121023043353143
710500653510214
oct1433652054767
9335632775770
10106814790135
1141333189869
12188500827b3
13a0c3639341
145254168b0b
152ba266ba90
hex18dea859f7

106814790135 has 24 divisors (see below), whose sum is σ = 185269266000. Its totient is φ = 56929848192.

The previous prime is 106814790101. The next prime is 106814790151. The reversal of 106814790135 is 531097418601.

It is not a de Polignac number, because 106814790135 - 210 = 106814789111 is a prime.

It is a super-2 number, since 2×1068147901352 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724294 + ... + 859203.

It is an arithmetic number, because the mean of its divisors is an integer number (7719552750).

Almost surely, 2106814790135 is an apocalyptic number.

106814790135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106814790135 is a deficient number, since it is larger than the sum of its proper divisors (78454475865).

106814790135 is a wasteful number, since it uses less digits than its factorization.

106814790135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585007 (or 1585004 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 106814790135 in words is "one hundred six billion, eight hundred fourteen million, seven hundred ninety thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 1499 4497 7495 13491 22485 67455 1583497 4750491 7917485 14251473 23752455 71257365 2373662003 7120986009 11868310015 21362958027 35604930045 106814790135