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106419136 = 266127259
BaseRepresentation
bin1100101011111…
…01001111000000
321102020122121111
412111331033000
5204220403021
614320533104
72431355605
oct625751700
9242218544
10106419136
11550862aa
122b781194
1319080505
14101c26ac
1595218e1
hex657d3c0

106419136 has 28 divisors (see below), whose sum is σ = 214645240. Its totient is φ = 52335360.

The previous prime is 106419121. The next prime is 106419143. The reversal of 106419136 is 631914601.

It is a super-2 number, since 2×1064191362 = 22650065013972992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106419098 and 106419107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9726 + ... + 17533.

Almost surely, 2106419136 is an apocalyptic number.

106419136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106419136 is an abundant number, since it is smaller than the sum of its proper divisors (108226104).

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

106419136 is an equidigital number, since it uses as much as digits as its factorization.

106419136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27332 (or 27322 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 106419136 is about 10315.9651026940. The cubic root of 106419136 is about 473.8853063903.

It can be divided in two parts, 10 and 6419136, that added together give a palindrome (6419146).

The spelling of 106419136 in words is "one hundred six million, four hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 27259 54518 109036 218072 436144 872288 1662799 1744576 3325598 6651196 13302392 26604784 53209568 106419136