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106402125 = 353476037
BaseRepresentation
bin1100101011110…
…01000101001101
321102012210021110
412111321011031
5204214332000
614320322233
72431255164
oct625710515
9242183243
10106402125
1155074545
122b773379
131907584b
14101ba3db
15951b850
hex657914d

106402125 has 32 divisors (see below), whose sum is σ = 180850176. Its totient is φ = 55531200.

The previous prime is 106402103. The next prime is 106402129. The reversal of 106402125 is 521204601.

It is not a de Polignac number, because 106402125 - 26 = 106402061 is a prime.

It is a super-2 number, since 2×1064021252 = 22642824409031250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106402129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14607 + ... + 20643.

It is an arithmetic number, because the mean of its divisors is an integer number (5651568).

Almost surely, 2106402125 is an apocalyptic number.

106402125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106402125 is a deficient number, since it is larger than the sum of its proper divisors (74448051).

106402125 is an equidigital number, since it uses as much as digits as its factorization.

106402125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106402125 is about 10315.1405710247. The cubic root of 106402125 is about 473.8600550028.

Adding to 106402125 its reverse (521204601), we get a palindrome (627606726).

The spelling of 106402125 in words is "one hundred six million, four hundred two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 47 75 125 141 235 375 705 1175 3525 5875 6037 17625 18111 30185 90555 150925 283739 452775 754625 851217 1418695 2263875 4256085 7093475 21280425 35467375 106402125