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106411360 = 25511103587
BaseRepresentation
bin1100101011110…
…11010101100000
321102020020221111
412111323111200
5204220130420
614320433104
72431324126
oct625732540
9242206844
10106411360
1155080480
122b778794
1319079b03
14101bd916
15951e45a
hex657b560

106411360 has 96 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 38254080.

The previous prime is 106411351. The next prime is 106411373. The reversal of 106411360 is 63114601.

It is a happy number.

It is a super-2 number, since 2×1064113602 = 22646755074099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180987 + ... + 181573.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2106411360 is an apocalyptic number.

106411360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

106411360 is an abundant number, since it is smaller than the sum of its proper divisors (170974112).

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

106411360 is a wasteful number, since it uses less digits than its factorization.

106411360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106411360 is about 10315.5882042664. The cubic root of 106411360 is about 473.8737639114.

Adding to 106411360 its reverse (63114601), we get a palindrome (169525961).

The spelling of 106411360 in words is "one hundred six million, four hundred eleven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 103 110 160 176 206 220 352 412 440 515 587 824 880 1030 1133 1174 1648 1760 2060 2266 2348 2935 3296 4120 4532 4696 5665 5870 6457 8240 9064 9392 11330 11740 12914 16480 18128 18784 22660 23480 25828 32285 36256 45320 46960 51656 60461 64570 90640 93920 103312 120922 129140 181280 206624 241844 258280 302305 483688 516560 604610 665071 967376 1033120 1209220 1330142 1934752 2418440 2660284 3325355 4836880 5320568 6650710 9673760 10641136 13301420 21282272 26602840 53205680 106411360