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106621002 = 2334614283
BaseRepresentation
bin1100101101011…
…10100001001010
321102121220112000
412112232201022
5204243333002
614325131430
72433156255
oct626564112
9242556460
10106621002
1155203a34
122b859b76
1319121367
141023609c
15956161c
hex65ae84a

106621002 has 32 divisors (see below), whose sum is σ = 237504960. Its totient is φ = 35454960.

The previous prime is 106620979. The next prime is 106621019. The reversal of 106621002 is 200126601.

It is a happy number.

106621002 is a `hidden beast` number, since 1 + 0 + 662 + 1 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×1066210022 = 22736076134968008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22753 + ... + 27035.

It is an arithmetic number, because the mean of its divisors is an integer number (7422030).

Almost surely, 2106621002 is an apocalyptic number.

106621002 is an abundant number, since it is smaller than the sum of its proper divisors (130883958).

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

106621002 is a wasteful number, since it uses less digits than its factorization.

106621002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106621002 is about 10325.7446220600. The cubic root of 106621002 is about 474.1847541275.

Adding to 106621002 its reverse (200126601), we get a palindrome (306747603).

It can be divided in two parts, 10662 and 1002, that added together give a square (11664 = 1082).

The spelling of 106621002 in words is "one hundred six million, six hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 461 922 1383 2766 4149 4283 8298 8566 12447 12849 24894 25698 38547 77094 115641 231282 1974463 3948926 5923389 11846778 17770167 35540334 53310501 106621002