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106898580 = 223254011481
BaseRepresentation
bin1100101111100…
…10010010010100
321110011000021200
412113302102110
5204331223310
614335112500
72435423445
oct627622224
9243130250
10106898580
1155383538
122b972730
13191ba7c9
14102a92cc
1595b89c0
hex65f2494

106898580 has 72 divisors (see below), whose sum is σ = 325287144. Its totient is φ = 28416000.

The previous prime is 106898551. The next prime is 106898591. The reversal of 106898580 is 85898601.

106898580 is a `hidden beast` number, since 1 + 0 + 68 + 9 + 8 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36942084 + 69956496 = 6078^2 + 8364^2 .

It is a super-2 number, since 2×1068985802 = 22854612812032800, which 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71440 + ... + 72920.

It is an arithmetic number, because the mean of its divisors is an integer number (4517877).

Almost surely, 2106898580 is an apocalyptic number.

106898580 is a gapful number since it is divisible by the number (10) 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 106898580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162643572).

106898580 is an abundant number, since it is smaller than the sum of its proper divisors (218388564).

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

106898580 is a wasteful number, since it uses less digits than its factorization.

106898580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 106898580 is about 10339.1769498350. The cubic root of 106898580 is about 474.5958963824.

The spelling of 106898580 in words is "one hundred six million, eight hundred ninety-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1481 1604 2005 2406 2962 3609 4010 4443 4812 5924 6015 7218 7405 8020 8886 12030 13329 14436 14810 17772 18045 22215 24060 26658 29620 36090 44430 53316 66645 72180 88860 133290 266580 593881 1187762 1781643 2375524 2969405 3563286 5344929 5938810 7126572 8908215 10689858 11877620 17816430 21379716 26724645 35632860 53449290 106898580