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108166080 = 26351110243
BaseRepresentation
bin1100111001001…
…11101111000000
321112112101222010
412130213233000
5210142303310
614422212520
72452253001
oct634475700
9245471863
10108166080
1156069860
1230284140
13195426c9
14105191a8
159769320
hex6727bc0

108166080 has 112 divisors (see below), whose sum is σ = 374684544. Its totient is φ = 26219520.

The previous prime is 108166043. The next prime is 108166081. The reversal of 108166080 is 80661801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108166081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5439 + ... + 15681.

Almost surely, 2108166080 is an apocalyptic number.

108166080 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 108166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187342272).

108166080 is an abundant number, since it is smaller than the sum of its proper divisors (266518464).

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

108166080 is a wasteful number, since it uses less digits than its factorization.

108166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10274 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 108166080 is about 10400.2923035845. The cubic root of 108166080 is about 476.4642975760.

It can be divided in two parts, 1081 and 66080, that added together give a triangular number (67161 = T366).

The spelling of 108166080 in words is "one hundred eight million, one hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10243 10560 20486 30729 40972 51215 61458 81944 102430 112673 122916 153645 163888 204860 225346 245832 307290 327776 338019 409720 450692 491664 563365 614580 655552 676038 819440 901384 983328 1126730 1229160 1352076 1638880 1690095 1802768 1966656 2253460 2458320 2704152 3277760 3380190 3605536 4506920 4916640 5408304 6760380 7211072 9013840 9833280 10816608 13520760 18027680 21633216 27041520 36055360 54083040 108166080