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106000055104 = 262326594751
BaseRepresentation
bin110001010111000011…
…0000111101101000000
3101010121022210201111211
41202232012013231000
53214042003230404
6120410141015504
710441531413346
oct1425606075500
9333538721454
10106000055104
1140a552a4329
1218663254594
139cc38c75c8
1451b7c85996
152b55d83b04
hex18ae187b40

106000055104 has 84 divisors (see below), whose sum is σ = 220266889920. Its totient is φ = 50608096000.

The previous prime is 106000055089. The next prime is 106000055107. The reversal of 106000055104 is 401550000601.

It is a super-2 number, since 2×1060000551042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000055107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22308729 + ... + 22313479.

It is an arithmetic number, because the mean of its divisors is an integer number (2622224880).

Almost surely, 2106000055104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106000055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110133444960).

106000055104 is an abundant number, since it is smaller than the sum of its proper divisors (114266834816).

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

106000055104 is an equidigital number, since it uses as much as digits as its factorization.

106000055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 106000055104 its reverse (401550000601), we get a palindrome (507550055705).

The spelling of 106000055104 in words is "one hundred six billion, fifty-five thousand, one hundred four".