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103106192 = 2472347379
BaseRepresentation
bin1100010010101…
…00011010010000
321012000100002212
412021110122100
5202343344232
614121531252
72361250100
oct611243220
9235010085
10103106192
1153223232
122a643b28
13184905a7
14d99d200
1590b9eb2
hex6254690

103106192 has 60 divisors (see below), whose sum is σ = 233668080. Its totient is φ = 43944768.

The previous prime is 103106191. The next prime is 103106209. The reversal of 103106192 is 291601301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103106191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271859 + ... + 272237.

It is an arithmetic number, because the mean of its divisors is an integer number (3894468).

Almost surely, 2103106192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103106192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116834040).

103106192 is an abundant number, since it is smaller than the sum of its proper divisors (130561888).

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

103106192 is a wasteful number, since it uses less digits than its factorization.

103106192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 103106192 is about 10154.1219216631. The cubic root of 103106192 is about 468.9158533226.

Adding to 103106192 its reverse (291601301), we get a palindrome (394707493).

The spelling of 103106192 in words is "one hundred three million, one hundred six thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 347 379 392 694 758 784 1388 1516 2429 2653 2776 3032 4858 5306 5552 6064 9716 10612 17003 18571 19432 21224 34006 37142 38864 42448 68012 74284 131513 136024 148568 263026 272048 297136 526052 920591 1052104 1841182 2104208 3682364 6444137 7364728 12888274 14729456 25776548 51553096 103106192