Search a number
-
+
106525160 = 2357380447
BaseRepresentation
bin1100101100101…
…11000111101000
321102110001001022
412112113013220
5204232301120
614323112012
72432306660
oct626270750
9242401038
10106525160
1155148a25
122b812608
13190b9851
141020d1a0
159543025
hex65971e8

106525160 has 32 divisors (see below), whose sum is σ = 273922560. Its totient is φ = 36522816.

The previous prime is 106525157. The next prime is 106525169. The reversal of 106525160 is 61525601.

It is a super-2 number, since 2×1065251602 = 22695219426051200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106525169) 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, 189944 + ... + 190503.

It is an arithmetic number, because the mean of its divisors is an integer number (8560080).

Almost surely, 2106525160 is an apocalyptic number.

106525160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106525160 is an abundant number, since it is smaller than the sum of its proper divisors (167397400).

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

106525160 is a wasteful number, since it uses less digits than its factorization.

106525160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380465 (or 380461 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 106525160 is about 10321.1026542710. The cubic root of 106525160 is about 474.0426294097.

The spelling of 106525160 in words is "one hundred six million, five hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 380447 760894 1521788 1902235 2663129 3043576 3804470 5326258 7608940 10652516 13315645 15217880 21305032 26631290 53262580 106525160