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103142160 = 24345111447
BaseRepresentation
bin1100010010111…
…01001100010000
321012002011110000
412021131030100
5202401022120
614122410000
72361460002
oct611351420
9235064400
10103142160
1153248260
122a660900
13184a3a84
14d9ac372
1590c5990
hex625d310

103142160 has 200 divisors, whose sum is σ = 391064256. Its totient is φ = 24986880.

The previous prime is 103142159. The next prime is 103142167. The reversal of 103142160 is 61241301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103142167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70557 + ... + 72003.

Almost surely, 2103142160 is an apocalyptic number.

103142160 is a gapful number since it is divisible by the number (10) 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 103142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195532128).

103142160 is an abundant number, since it is smaller than the sum of its proper divisors (287922096).

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

103142160 is a wasteful number, since it uses less digits than its factorization.

103142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103142160 is about 10155.8928706441. The cubic root of 103142160 is about 468.9703731798.

Adding to 103142160 its reverse (61241301), we get a palindrome (164383461).

The spelling of 103142160 in words is "one hundred three million, one hundred forty-two thousand, one hundred sixty".