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106030461405 = 3511317312401
BaseRepresentation
bin110001010111111101…
…0000111000111011101
3101010200110000112010010
41202233322013013131
53214122244231110
6120413144433433
710442351023431
oct1425772070735
9333613015103
10106030461405
1140a70482000
1218671478879
139cc9cb24bb
1451bbd1c9c1
152b5888d020
hex18afe871dd

106030461405 has 64 divisors (see below), whose sum is σ = 197578020096. Its totient is φ = 48384512000.

The previous prime is 106030461401. The next prime is 106030461409. The reversal of 106030461405 is 504164030601.

It is an interprime number because it is at equal distance from previous prime (106030461401) and next prime (106030461409).

It is not a de Polignac number, because 106030461405 - 22 = 106030461401 is a prime.

It is a super-2 number, since 2×1060304614052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106030461401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183205 + ... + 495605.

It is an arithmetic number, because the mean of its divisors is an integer number (3087156564).

Almost surely, 2106030461405 is an apocalyptic number.

106030461405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106030461405 is a deficient number, since it is larger than the sum of its proper divisors (91547558691).

106030461405 is a wasteful number, since it uses less digits than its factorization.

106030461405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312459 (or 312437 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 106030461405 in words is "one hundred six billion, thirty million, four hundred sixty-one thousand, four hundred five".

Divisors: 1 3 5 11 15 17 33 51 55 85 121 165 187 255 363 561 605 935 1331 1815 2057 2805 3993 6171 6655 10285 19965 22627 30855 67881 113135 312401 339405 937203 1562005 3436411 4686015 5310817 10309233 15932451 17182055 26554085 37800521 51546165 58418987 79662255 113401563 175256961 189002605 292094935 415805731 567007815 642608857 876284805 1247417193 1927826571 2079028655 3213044285 6237085965 7068697427 9639132855 21206092281 35343487135 106030461405