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103860192 = 25310710111
BaseRepresentation
bin1100011000011…
…00011111100000
321020102122101210
412030030133200
5203042011232
614150030120
72400540252
oct614143740
9236378353
10103860192
1153698777
122a948340
1318695847
14db17cd2
1591b85cc
hex630c7e0

103860192 has 48 divisors (see below), whose sum is σ = 275208192. Its totient is φ = 34293120.

The previous prime is 103860181. The next prime is 103860193. The reversal of 103860192 is 291068301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103860193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5217 + ... + 15327.

It is an arithmetic number, because the mean of its divisors is an integer number (5733504).

Almost surely, 2103860192 is an apocalyptic number.

103860192 is a gapful number since it is divisible by the number (12) 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 103860192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137604096).

103860192 is an abundant number, since it is smaller than the sum of its proper divisors (171348000).

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

103860192 is a wasteful number, since it uses less digits than its factorization.

103860192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10231 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 103860192 is about 10191.1820707904. The cubic root of 103860192 is about 470.0561152254.

The spelling of 103860192 in words is "one hundred three million, eight hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10111 10272 20222 30333 40444 60666 80888 121332 161776 242664 323552 485328 970656 1081877 2163754 3245631 4327508 6491262 8655016 12982524 17310032 25965048 34620064 51930096 103860192