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108196128 = 2533971291
BaseRepresentation
bin1100111001011…
…11000100100000
321112120221012000
412130233010200
5210144234003
614423004000
72452436415
oct634570440
9245527160
10108196128
115608a397
1230299600
13195532a1
141052610c
1597731a3
hex672f120

108196128 has 96 divisors (see below), whose sum is σ = 319072320. Its totient is φ = 35665920.

The previous prime is 108196111. The next prime is 108196141. The reversal of 108196128 is 821691801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1081961282 = 23412804228384768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108196092 and 108196101.

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, 83163 + ... + 84453.

It is an arithmetic number, because the mean of its divisors is an integer number (3323670).

Almost surely, 2108196128 is an apocalyptic number.

108196128 is a gapful number since it is divisible by the number (18) 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 108196128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159536160).

108196128 is an abundant number, since it is smaller than the sum of its proper divisors (210876192).

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

108196128 is a wasteful number, since it uses less digits than its factorization.

108196128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 108196128 is about 10401.7367780578. The cubic root of 108196128 is about 476.5084132967.

The spelling of 108196128 in words is "one hundred eight million, one hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 194 216 288 291 388 432 582 776 864 873 1164 1291 1552 1746 2328 2582 2619 3104 3492 3873 4656 5164 5238 6984 7746 9312 10328 10476 11619 13968 15492 20656 20952 23238 27936 30984 34857 41312 41904 46476 61968 69714 83808 92952 123936 125227 139428 185904 250454 278856 371808 375681 500908 557712 751362 1001816 1115424 1127043 1502724 2003632 2254086 3005448 3381129 4007264 4508172 6010896 6762258 9016344 12021792 13524516 18032688 27049032 36065376 54098064 108196128