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106101156421 = 1316729487873
BaseRepresentation
bin110001011010000011…
…1110010101001000101
3101010212101001012110001
41202310013302221011
53214243344001141
6120424152001301
710444166643361
oct1426407625105
9333771035401
10106101156421
1140aa7378237
1218691090231
13a00b835480
1451c74822a1
152b5eba4a31
hex18b41f2a45

106101156421 has 8 divisors (see below), whose sum is σ = 114269848280. Its totient is φ = 97933473792.

The previous prime is 106101156409. The next prime is 106101156439. The reversal of 106101156421 is 124651101601.

It can be written as a sum of positive squares in 4 ways, for example, as 1020802500 + 105080353921 = 31950^2 + 324161^2 .

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 106101156421 - 213 = 106101148229 is a prime.

It is a super-2 number, since 2×1061011564212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106101156421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101156461) 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, 26460 + ... + 461413.

It is an arithmetic number, because the mean of its divisors is an integer number (14283731035).

Almost surely, 2106101156421 is an apocalyptic number.

It is an amenable number.

106101156421 is a deficient number, since it is larger than the sum of its proper divisors (8168691859).

106101156421 is a wasteful number, since it uses less digits than its factorization.

106101156421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504615.

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 106101156421 in words is "one hundred six billion, one hundred one million, one hundred fifty-six thousand, four hundred twenty-one".

Divisors: 1 13 16729 217477 487873 6342349 8161627417 106101156421