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106000000610 = 25713122675099
BaseRepresentation
bin110001010111000010…
…1111010011001100010
3101010121022200221202112
41202232011322121202
53214042000004420
6120410135515322
710441531065440
oct1425605723142
9333538627675
10106000000610
1140a55267399
1218663228b42
139cc38a886a
1451b7c6db90
152b55d728c5
hex18ae17a662

106000000610 has 64 divisors (see below), whose sum is σ = 219861734400. Its totient is φ = 36042452160.

The previous prime is 106000000607. The next prime is 106000000699. The reversal of 106000000610 is 16000000601.

It is a super-2 number, since 2×1060000006102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20785841 + ... + 20790939.

It is an arithmetic number, because the mean of its divisors is an integer number (3435339600).

Almost surely, 2106000000610 is an apocalyptic number.

106000000610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106000000610 is an abundant number, since it is smaller than the sum of its proper divisors (113861733790).

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

106000000610 is a wasteful number, since it uses less digits than its factorization.

106000000610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7511.

The product of its (nonzero) digits is 36, while the sum is 14.

Subtracting from 106000000610 its reverse (16000000601), we obtain a palindrome (90000000009).

The spelling of 106000000610 in words is "one hundred six billion, six hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 131 262 655 917 1310 1834 2267 4534 4585 5099 9170 10198 11335 15869 22670 25495 31738 35693 50990 71386 79345 158690 178465 296977 356930 593954 667969 1335938 1484885 2078839 2969770 3339845 4157678 4675783 6679690 9351566 10394195 11559433 20788390 23118866 23378915 46757830 57797165 80916031 115594330 161832062 404580155 809160310 1514285723 3028571446 7571428615 10600000061 15142857230 21200000122 53000000305 106000000610