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106661490 = 235131811511
BaseRepresentation
bin1100101101110…
…00011001110010
321102200222001120
412112320121302
5204301131430
614330043110
72433415305
oct626703162
9242628046
10106661490
11552313a1
122b879496
1319136910
1410246b3c
15956d610
hex65b8672

106661490 has 64 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 26092800.

The previous prime is 106661479. The next prime is 106661509. The reversal of 106661490 is 94166601.

It is a super-2 number, since 2×1066614902 = 22753346898040200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69835 + ... + 71345.

It is an arithmetic number, because the mean of its divisors is an integer number (4334148).

Almost surely, 2106661490 is an apocalyptic number.

106661490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106661490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

106661490 is an abundant number, since it is smaller than the sum of its proper divisors (170723982).

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

106661490 is a wasteful number, since it uses less digits than its factorization.

106661490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106661490 is about 10327.7049725484. The cubic root of 106661490 is about 474.2447684533.

The spelling of 106661490 in words is "one hundred six million, six hundred sixty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 181 195 362 390 543 905 1086 1511 1810 2353 2715 3022 4533 4706 5430 7059 7555 9066 11765 14118 15110 19643 22665 23530 35295 39286 45330 58929 70590 98215 117858 196430 273491 294645 546982 589290 820473 1367455 1640946 2734910 3555383 4102365 7110766 8204730 10666149 17776915 21332298 35553830 53330745 106661490