Search a number
BaseRepresentation
bin110001010111001111…
…1000101110101100000
3101010121210010021212111
41202232133011311200
53214100142213211
6120410533205104
710441641145636
oct1425637056540
9333553107774
10106006601056
1140a58a65404
1218665490794
139cc5079c55
1451b8aab356
152b56728421
hex18ae7c5d60

106006601056 has 96 divisors (see below), whose sum is σ = 221343446016. Its totient is φ = 49896000000.

The previous prime is 106006601053. The next prime is 106006601161. The reversal of 106006601056 is 650106600601.

It is a super-2 number, since 2×1060066010562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006601053) by changing a digit.

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, 10701706 + ... + 10711606.

It is an arithmetic number, because the mean of its divisors is an integer number (2305660896).

Almost surely, 2106006601056 is an apocalyptic number.

106006601056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106006601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110671723008).

106006601056 is an abundant number, since it is smaller than the sum of its proper divisors (115336844960).

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

106006601056 is a wasteful number, since it uses less digits than its factorization.

106006601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 106006601056 in words is "one hundred six billion, six million, six hundred one thousand, fifty-six".