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109800405 = 3251113113151
BaseRepresentation
bin1101000101101…
…10101111010101
321122121102211200
412202312233111
5211102103110
614521223113
72502200541
oct642665725
9248542750
10109800405
1156a85740
1230931a99
1319995570
1410822a21
15998d6c0
hex68b6bd5

109800405 has 96 divisors (see below), whose sum is σ = 227066112. Its totient is φ = 48384000.

The previous prime is 109800403. The next prime is 109800421. The reversal of 109800405 is 504008901.

It is not a de Polignac number, because 109800405 - 21 = 109800403 is a prime.

It is a super-2 number, since 2×1098004052 = 24112257876328050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109800403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727080 + ... + 727230.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272).

Almost surely, 2109800405 is an apocalyptic number.

109800405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109800405 is an abundant number, since it is smaller than the sum of its proper divisors (117265707).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109800405 is a wasteful number, since it uses less digits than its factorization.

109800405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 109800405 is about 10478.5688431198. The cubic root of 109800405 is about 478.8520092037.

The spelling of 109800405 in words is "one hundred nine million, eight hundred thousand, four hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 113 117 143 151 165 195 339 429 453 495 565 585 715 755 1017 1243 1287 1359 1469 1661 1695 1963 2145 2265 3729 4407 4983 5085 5889 6215 6435 6795 7345 8305 9815 11187 13221 14949 16159 17063 17667 18645 21593 22035 24915 29445 48477 51189 55935 64779 66105 74745 80795 85315 88335 107965 145431 153567 187693 194337 221819 242385 255945 323895 563079 665457 727155 767835 938465 971685 1109095 1689237 1996371 2440009 2815395 3327285 7320027 8446185 9981855 12200045 21960081 36600135 109800405