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106577950 = 2522131559
BaseRepresentation
bin1100101101001…
…00000000011110
321102112201110111
412112210000132
5204240443300
614324200234
72432616613
oct626440036
9242481414
10106577950
1155184656
122b83907a
131910789b
141022450a
1595539ba
hex65a401e

106577950 has 12 divisors (see below), whose sum is σ = 198235080. Its totient is φ = 42631160.

The previous prime is 106577923. The next prime is 106577957. The reversal of 106577950 is 59775601.

It is a super-2 number, since 2×1065779502 = 22717718852405000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106577957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1065730 + ... + 1065829.

It is an arithmetic number, because the mean of its divisors is an integer number (16519590).

Almost surely, 2106577950 is an apocalyptic number.

106577950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106577950 is a deficient number, since it is larger than the sum of its proper divisors (91657130).

106577950 is a wasteful number, since it uses less digits than its factorization.

106577950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131571 (or 2131566 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 40.

The square root of 106577950 is about 10323.6597193050. The cubic root of 106577950 is about 474.1209225809.

The spelling of 106577950 in words is "one hundred six million, five hundred seventy-seven thousand, nine hundred fifty".

Divisors: 1 2 5 10 25 50 2131559 4263118 10657795 21315590 53288975 106577950