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106212504121 = 414817537793
BaseRepresentation
bin110001011101011000…
…0100011001000111001
3101011011010120020202221
41202322300203020321
53220010400112441
6120443210324041
710450021250263
oct1427260431071
9334133506687
10106212504121
114105420a429
1218702429621
13a028920099
1451d8188b33
152b6984b8d1
hex18bac23239

106212504121 has 8 divisors (see below), whose sum is σ = 108825842664. Its totient is φ = 103600250880.

The previous prime is 106212504107. The next prime is 106212504127. The reversal of 106212504121 is 121405212601.

It can be written as a sum of positive squares in 4 ways, for example, as 287641600 + 105924862521 = 16960^2 + 325461^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106212504121 - 211 = 106212502073 is a prime.

It is a super-2 number, since 2×1062125041212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106212504127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71400 + ... + 466393.

It is an arithmetic number, because the mean of its divisors is an integer number (13603230333).

Almost surely, 2106212504121 is an apocalyptic number.

It is an amenable number.

106212504121 is a deficient number, since it is larger than the sum of its proper divisors (2613338543).

106212504121 is an equidigital number, since it uses as much as digits as its factorization.

106212504121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542651.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 106212504121 its reverse (121405212601), we get a palindrome (227617716722).

The spelling of 106212504121 in words is "one hundred six billion, two hundred twelve million, five hundred four thousand, one hundred twenty-one".

Divisors: 1 41 4817 197497 537793 22049513 2590548881 106212504121