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106403590193 = 29101241307491
BaseRepresentation
bin110001100011000100…
…1011111000000110001
3101011122110010102120212
41203012021133000301
53220403304341233
6120514154113505
710454531410445
oct1430611370061
9334573112525
10106403590193
11411420641aa
121875641b895
13a0593a5c74
1452156ca825
152b7b4e4a48
hex18c625f031

106403590193 has 32 divisors (see below), whose sum is σ = 112215438720. Its totient is φ = 100759680000.

The previous prime is 106403590151. The next prime is 106403590201. The reversal of 106403590193 is 391095304601.

It is a cyclic number.

It is not a de Polignac number, because 106403590193 - 220 = 106402541617 is a prime.

It is a super-2 number, since 2×1064035901932 (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 106403590193.

It is not an unprimeable number, because it can be changed into a prime (106403590123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216707678 + ... + 216708168.

It is an arithmetic number, because the mean of its divisors is an integer number (3506732460).

Almost surely, 2106403590193 is an apocalyptic number.

It is an amenable number.

106403590193 is a deficient number, since it is larger than the sum of its proper divisors (5811848527).

106403590193 is a wasteful number, since it uses less digits than its factorization.

106403590193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169.

The product of its (nonzero) digits is 87480, while the sum is 41.

Adding to 106403590193 its reverse (391095304601), we get a palindrome (497498894794).

The spelling of 106403590193 in words is "one hundred six billion, four hundred three million, five hundred ninety thousand, one hundred ninety-three".

Divisors: 1 29 101 241 307 491 2929 6989 8903 14239 24341 31007 49591 73987 118331 150737 705889 899203 1438139 2145623 3431599 4371373 7472687 11951431 15224437 36327617 216707923 346591499 441508673 1053500893 3669089317 106403590193