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106413102040 = 235737756057
BaseRepresentation
bin110001100011010110…
…1110001001111011000
3101011200010000200101111
41203012231301033120
53220413223231130
6120515134030104
710455005305000
oct1430655611730
9334603020344
10106413102040
1141147470633
1218759648334
13a05b35658b
145216a85000
152b7c27302a
hex18c6b713d8

106413102040 has 64 divisors (see below), whose sum is σ = 279218088000. Its totient is φ = 36484487424.

The previous prime is 106413102017. The next prime is 106413102049. The reversal of 106413102040 is 40201314601.

It is a super-2 number, since 2×1064131020402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106413102049) 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, 3864309 + ... + 3891748.

It is an arithmetic number, because the mean of its divisors is an integer number (4362782625).

Almost surely, 2106413102040 is an apocalyptic number.

106413102040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106413102040 is an abundant number, since it is smaller than the sum of its proper divisors (172804985960).

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

106413102040 is an equidigital number, since it uses as much as digits as its factorization.

106413102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756089 (or 7756071 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 106413102040 its reverse (40201314601), we get a palindrome (146614416641).

The spelling of 106413102040 in words is "one hundred six billion, four hundred thirteen million, one hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 7756057 15512114 31024228 38780285 54292399 62048456 77560570 108584798 155121140 217169596 271461995 310242280 380046793 434339192 542923990 760093586 1085847980 1520187172 1900233965 2171695960 2660327551 3040374344 3800467930 5320655102 7600935860 10641310204 13301637755 15201871720 21282620408 26603275510 53206551020 106413102040