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106124627205 = 32519592103769
BaseRepresentation
bin110001011010110000…
…1010100110100000101
3101010221000012122022100
41202311201110310011
53214320401032310
6120430351022313
710444603306332
oct1426541246405
9333830178270
10106124627205
1141009649183
1218698b0a999
13a0136625cc
1451ca631989
152b61c8dec0
hex18b5854d05

106124627205 has 48 divisors (see below), whose sum is σ = 196912872000. Its totient is φ = 52712011008.

The previous prime is 106124627171. The next prime is 106124627237. The reversal of 106124627205 is 502726421601.

It is a happy number.

106124627205 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 4 + 627 + 20 + 5 = 666.

It is not a de Polignac number, because 106124627205 - 29 = 106124626693 is a prime.

It is a super-2 number, since 2×1061246272052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106124627205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001440 + ... + 1102329.

It is an arithmetic number, because the mean of its divisors is an integer number (4102351500).

Almost surely, 2106124627205 is an apocalyptic number.

106124627205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106124627205 is a deficient number, since it is larger than the sum of its proper divisors (90788244795).

106124627205 is a wasteful number, since it uses less digits than its factorization.

106124627205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103858 (or 2103855 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 106124627205 in words is "one hundred six billion, one hundred twenty-four million, six hundred twenty-seven thousand, two hundred five".

Divisors: 1 3 5 9 15 19 45 57 59 95 171 177 285 295 531 855 885 1121 2655 3363 5605 10089 16815 50445 2103769 6311307 10518845 18933921 31556535 39971611 94669605 119914833 124122371 199858055 359744499 372367113 599574165 620611855 1117101339 1798722495 1861835565 2358325049 5585506695 7074975147 11791625245 21224925441 35374875735 106124627205