Search a number
-
+
106057067351 = 3126991267579
BaseRepresentation
bin110001011000101111…
…1100110101101010111
3101010202022002020121112
41202301133212231113
53214201102123401
6120415535005235
710443123124664
oct1426137465527
9333668066545
10106057067351
1140a844a4494
121867a36981b
13a002669671
1451c1686a6b
152b5ad963bb
hex18b17e6b57

106057067351 has 8 divisors (see below), whose sum is σ = 109518912000. Its totient is φ = 102597763320.

The previous prime is 106057067339. The next prime is 106057067359. The reversal of 106057067351 is 153760750601.

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 106057067351 - 230 = 104983325527 is a prime.

It is a super-2 number, since 2×1060570673512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106057067299 and 106057067308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106057067359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550121 + ... + 717458.

It is an arithmetic number, because the mean of its divisors is an integer number (13689864000).

Almost surely, 2106057067351 is an apocalyptic number.

106057067351 is a deficient number, since it is larger than the sum of its proper divisors (3461844649).

106057067351 is a wasteful number, since it uses less digits than its factorization.

106057067351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270309.

The product of its (nonzero) digits is 132300, while the sum is 41.

The spelling of 106057067351 in words is "one hundred six billion, fifty-seven million, sixty-seven thousand, three hundred fifty-one".

Divisors: 1 31 2699 83669 1267579 39294949 3421195721 106057067351