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106835060 = 22544911897
BaseRepresentation
bin1100101111000…
…10110001110100
321110000210011002
412113202301310
5204322210220
614333502432
72435040323
oct627426164
9243023132
10106835060
115533a842
122b941a18
1319197917
14102900ba
1595a4c75
hex65e2c74

106835060 has 24 divisors (see below), whose sum is σ = 224872200. Its totient is φ = 42635264.

The previous prime is 106835039. The next prime is 106835137. The reversal of 106835060 is 60538601.

It can be written as a sum of positive squares in 4 ways, for example, as 47914084 + 58920976 = 6922^2 + 7676^2 .

It is a super-2 number, since 2×1068350602 = 22827460090407200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3032 + ... + 14928.

It is an arithmetic number, because the mean of its divisors is an integer number (9369675).

Almost surely, 2106835060 is an apocalyptic number.

106835060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106835060 is an abundant number, since it is smaller than the sum of its proper divisors (118037140).

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

106835060 is a wasteful number, since it uses less digits than its factorization.

106835060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12355 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 106835060 is about 10336.1046821324. The cubic root of 106835060 is about 474.5018748517.

The spelling of 106835060 in words is "one hundred six million, eight hundred thirty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 449 898 1796 2245 4490 8980 11897 23794 47588 59485 118970 237940 5341753 10683506 21367012 26708765 53417530 106835060