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106641090 = 2335394967
BaseRepresentation
bin1100101101100…
…11011011000010
321102122221002000
412112303123002
5204300003330
614325404430
72433301653
oct626633302
9242587060
10106641090
1155218036
122b869716
131912a54a
141023d52a
159567560
hex65b36c2

106641090 has 32 divisors (see below), whose sum is σ = 284376960. Its totient is φ = 28437552.

The previous prime is 106641089. The next prime is 106641097. The reversal of 106641090 is 90146601.

106641090 is a `hidden beast` number, since 10 + 6 + 641 + 0 + 9 + 0 = 666.

It is a super-2 number, since 2×1066410902 = 22744644152776200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106641097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197214 + ... + 197753.

It is an arithmetic number, because the mean of its divisors is an integer number (8886780).

Almost surely, 2106641090 is an apocalyptic number.

106641090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106641090 is an abundant number, since it is smaller than the sum of its proper divisors (177735870).

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

106641090 is a wasteful number, since it uses less digits than its factorization.

106641090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394983 (or 394977 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106641090 is about 10326.7172906011. The cubic root of 106641090 is about 474.2145319542.

Adding to 106641090 its reverse (90146601), we get a palindrome (196787691).

The spelling of 106641090 in words is "one hundred six million, six hundred forty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 394967 789934 1184901 1974835 2369802 3554703 3949670 5924505 7109406 10664109 11849010 17773515 21328218 35547030 53320545 106641090