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109103136 = 2533161601
BaseRepresentation
bin1101000000011…
…00100000100000
321121022000100220
412200030200200
5210412300021
614454243040
72463234642
oct640144040
9247260326
10109103136
115664988a
1230656480
13197b008c
14106c0892
1598a1cc6
hex680c820

109103136 has 96 divisors (see below), whose sum is σ = 300980736. Its totient is φ = 34560000.

The previous prime is 109103123. The next prime is 109103147. The reversal of 109103136 is 631301901.

109103136 = 18612 + 18622 + ... + 18912.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181236 + ... + 181836.

It is an arithmetic number, because the mean of its divisors is an integer number (3135216).

Almost surely, 2109103136 is an apocalyptic number.

109103136 is a gapful number since it is divisible by the number (16) 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 109103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150490368).

109103136 is an abundant number, since it is smaller than the sum of its proper divisors (191877600).

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

109103136 is a wasteful number, since it uses less digits than its factorization.

109103136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 109103136 is about 10445.2446596525. The cubic root of 109103136 is about 477.8362329456.

The spelling of 109103136 in words is "one hundred nine million, one hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 601 732 744 976 992 1202 1464 1488 1803 1891 1952 2404 2928 2976 3606 3782 4808 5673 5856 7212 7564 9616 11346 14424 15128 18631 19232 22692 28848 30256 36661 37262 45384 55893 57696 60512 73322 74524 90768 109983 111786 146644 149048 181536 219966 223572 293288 298096 439932 447144 586576 596192 879864 894288 1136491 1173152 1759728 1788576 2272982 3409473 3519456 4545964 6818946 9091928 13637892 18183856 27275784 36367712 54551568 109103136