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106010560656 = 2432711213237139
BaseRepresentation
bin110001010111010111…
…0001100100010010000
3101010122001120110102100
41202232232030202100
53214102200420111
6120411154120400
710442016616650
oct1425656144220
9333561513370
10106010560656
1140a6021a300
1218666880100
139cc5b35300
1451b941c360
152b56c5b756
hex18aeb8c890

106010560656 has 1080 divisors, whose sum is σ = 417454739520. Its totient is φ = 24552253440.

The previous prime is 106010560637. The next prime is 106010560679. The reversal of 106010560656 is 656065010601.

It can be divided in two parts, 106010 and 560656, that added together give a palindrome (666666).

It is a super-2 number, since 2×1060105606562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106010560656.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 762665835 + ... + 762665973.

Almost surely, 2106010560656 is an apocalyptic number.

106010560656 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 106010560656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208727369760).

106010560656 is an abundant number, since it is smaller than the sum of its proper divisors (311444178864).

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

106010560656 is a wasteful number, since it uses less digits than its factorization.

106010560656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106010560656 in words is "one hundred six billion, ten million, five hundred sixty thousand, six hundred fifty-six".