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106005025 = 5271035881
BaseRepresentation
bin1100101000110…
…00001000100001
321101110121120001
412110120020201
5204114130100
614304020001
72425012360
oct624301041
9241417501
10106005025
1154923165
122b601601
1318c66b89
14101157d7
15948dd6a
hex6518221

106005025 has 24 divisors (see below), whose sum is σ = 151708544. Its totient is φ = 71971200.

The previous prime is 106005023. The next prime is 106005061. The reversal of 106005025 is 520500601.

It is a happy number.

It is not a de Polignac number, because 106005025 - 21 = 106005023 is a prime.

It is a super-2 number, since 2×1060050252 = 22474130650501250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106004993 and 106005011.

It is not an unprimeable number, because it can be changed into a prime (106005023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15085 + ... + 20965.

Almost surely, 2106005025 is an apocalyptic number.

It is an amenable number.

106005025 is a deficient number, since it is larger than the sum of its proper divisors (45703519).

106005025 is a wasteful number, since it uses less digits than its factorization.

106005025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 106005025 is about 10295.8741736678. The cubic root of 106005025 is about 473.2698274362.

Adding to 106005025 its reverse (520500601), we get a palindrome (626505626).

It can be divided in two parts, 10600 and 5025, that added together give a 6-th power (15625 = 56).

The spelling of 106005025 in words is "one hundred six million, five thousand, twenty-five".

Divisors: 1 5 7 25 35 103 175 515 721 2575 3605 5881 18025 29405 41167 147025 205835 605743 1029175 3028715 4240201 15143575 21201005 106005025