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109535104 = 277432843
BaseRepresentation
bin1101000011101…
…01111110000000
321122002221220201
412201311332000
5211020110404
614511414544
72500014220
oct641657600
9248087821
10109535104
1156914388
1230824454
1319901893
1410794080
159939ca4
hex6875f80

109535104 has 64 divisors (see below), whose sum is σ = 255277440. Its totient is φ = 45835776.

The previous prime is 109535099. The next prime is 109535119. The reversal of 109535104 is 401535901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37107 + ... + 39949.

It is an arithmetic number, because the mean of its divisors is an integer number (3988710).

Almost surely, 2109535104 is an apocalyptic number.

109535104 is a gapful number since it is divisible by the number (14) 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 109535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127638720).

109535104 is an abundant number, since it is smaller than the sum of its proper divisors (145742336).

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

109535104 is an equidigital number, since it uses as much as digits as its factorization.

109535104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 109535104 is about 10465.9019678191. The cubic root of 109535104 is about 478.4660289246.

The spelling of 109535104 in words is "one hundred nine million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 2843 4816 5504 5686 9632 11372 19264 19901 22744 38528 39802 45488 79604 90976 122249 159208 181952 244498 318416 363904 488996 636832 855743 977992 1273664 1711486 1955984 2547328 3422972 3911968 6845944 7823936 13691888 15647872 27383776 54767552 109535104