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109103616 = 293223677
BaseRepresentation
bin1101000000011…
…00101000000000
321121022001000200
412200030220000
5210412303431
614454245200
72463236226
oct640145000
9247261020
10109103616
115664a186
1230656800
13197b036b
14106c0b16
1598a1ee6
hex680ca00

109103616 has 60 divisors (see below), whose sum is σ = 314893722. Its totient is φ = 36366336.

The previous prime is 109103609. The next prime is 109103633. The reversal of 109103616 is 616301901.

It can be written as a sum of positive squares in only one way, i.e., 96825600 + 12278016 = 9840^2 + 3504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109103616.

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 5 ways as a sum of consecutive naturals, for example, 7231 + ... + 16446.

Almost surely, 2109103616 is an apocalyptic number.

109103616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109103616 is an abundant number, since it is smaller than the sum of its proper divisors (205790106).

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

109103616 is an equidigital number, since it uses as much as digits as its factorization.

109103616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23701 (or 23682 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109103616 is about 10445.2676365903. The cubic root of 109103616 is about 477.8369336925.

The spelling of 109103616 in words is "one hundred nine million, one hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 23677 47354 71031 94708 142062 189416 213093 284124 378832 426186 568248 757664 852372 1136496 1515328 1704744 2272992 3030656 3409488 4545984 6061312 6818976 9091968 12122624 13637952 18183936 27275904 36367872 54551808 109103616