Search a number
-
+
106445164303345 = 5723891111116571
BaseRepresentation
bin11000001100111110110010…
…001101001101001111110001
3111221220001120112000210001111
4120030332302031031033301
5102422444144030201340
61014220122225433321
731264260254614300
oct3014766215151761
9457801515023044
10106445164303345
1130a0a16025855a
12bb3195219b841
134751974a9160a
141c3dd8b1a2437
15c48d3a1e6aea
hex60cfb234d3f1

106445164303345 has 24 divisors (see below), whose sum is σ = 148589274909888. Its totient is φ = 72990716853600.

The previous prime is 106445164303327. The next prime is 106445164303369. The reversal of 106445164303345 is 543303461544601.

It is not a de Polignac number, because 106445164303345 - 217 = 106445164172273 is a prime.

It is a super-2 number, since 2×1064451643033452 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94773910 + ... + 95890480.

It is an arithmetic number, because the mean of its divisors is an integer number (6191219787912).

Almost surely, 2106445164303345 is an apocalyptic number.

It is an amenable number.

106445164303345 is a deficient number, since it is larger than the sum of its proper divisors (42144110606543).

106445164303345 is a wasteful number, since it uses less digits than its factorization.

106445164303345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505701 (or 1505694 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 106445164303345 in words is "one hundred six trillion, four hundred forty-five billion, one hundred sixty-four million, three hundred three thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 245 389111 1116571 1945555 2723777 5582855 7815997 13618885 19066439 39079985 54711979 95332195 273559895 434470058381 2172350291905 3041290408667 15206452043335 21289032860669 106445164303345