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103105744 = 2474379271
BaseRepresentation
bin1100010010101…
…00010011010000
321012000022111021
412021110103100
5202343340434
614121525224
72361245560
oct611242320
9235008437
10103105744
1153222965
122a643814
1318490321
14d99cda0
1590b9cb4
hex62544d0

103105744 has 80 divisors (see below), whose sum is σ = 237445120. Its totient is φ = 42456960.

The previous prime is 103105727. The next prime is 103105747. The reversal of 103105744 is 447501301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103105747) 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, 380329 + ... + 380599.

It is an arithmetic number, because the mean of its divisors is an integer number (2968064).

Almost surely, 2103105744 is an apocalyptic number.

103105744 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 103105744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118722560).

103105744 is an abundant number, since it is smaller than the sum of its proper divisors (134339376).

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

103105744 is a wasteful number, since it uses less digits than its factorization.

103105744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 103105744 is about 10154.0998616322. The cubic root of 103105744 is about 468.9151741697.

The spelling of 103105744 in words is "one hundred three million, one hundred five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 79 86 112 158 172 271 301 316 344 542 553 602 632 688 1084 1106 1204 1264 1897 2168 2212 2408 3397 3794 4336 4424 4816 6794 7588 8848 11653 13588 15176 21409 23306 23779 27176 30352 42818 46612 47558 54352 81571 85636 93224 95116 149863 163142 171272 186448 190232 299726 326284 342544 380464 599452 652568 920587 1198904 1305136 1841174 2397808 3682348 6444109 7364696 12888218 14729392 25776436 51552872 103105744