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106155600425 = 5272199343481
BaseRepresentation
bin110001011011101011…
…1011110101000101001
3101011000011111020120122
41202313113132220221
53214401313203200
6120433414533025
710445430500300
oct1426727365051
9334004436518
10106155600425
1141025083886
12186a7367175
13a019bb8564
1451d07b5437
152b6485b385
hex18b75dea29

106155600425 has 36 divisors (see below), whose sum is σ = 153204391836. Its totient is φ = 72754214400.

The previous prime is 106155600403. The next prime is 106155600433. The reversal of 106155600425 is 524006551601.

It can be written as a sum of positive squares in 6 ways, for example, as 756030016 + 105399570409 = 27496^2 + 324653^2 .

It is not a de Polignac number, because 106155600425 - 26 = 106155600361 is a prime.

It is a super-2 number, since 2×1061556004252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2419685 + ... + 2463165.

It is an arithmetic number, because the mean of its divisors is an integer number (4255677551).

Almost surely, 2106155600425 is an apocalyptic number.

It is an amenable number.

106155600425 is a deficient number, since it is larger than the sum of its proper divisors (47048791411).

106155600425 is a wasteful number, since it uses less digits than its factorization.

106155600425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45498 (or 45486 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 106155600425 in words is "one hundred six billion, one hundred fifty-five million, six hundred thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 1993 9965 13951 43481 49825 69755 97657 217405 304367 348775 488285 1087025 1521835 2130569 2441425 7609175 10652845 53264225 86657633 433288165 606603431 2166440825 3033017155 4246224017 15165085775 21231120085 106155600425