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106418877 = 3314192731
BaseRepresentation
bin1100101011111…
…01001010111101
321102020122020220
412111331022331
5204220401002
614320531553
72431355055
oct625751275
9242218226
10106418877
1155086094
122b780bb9
1319080366
14101c2565
1595217bc
hex657d2bd

106418877 has 16 divisors (see below), whose sum is σ = 146872320. Its totient is φ = 68468400.

The previous prime is 106418869. The next prime is 106418881. The reversal of 106418877 is 778814601.

It is a happy number.

It is not a de Polignac number, because 106418877 - 23 = 106418869 is a prime.

It is a super-2 number, since 2×1064188772 = 22649954763882258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106418887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37602 + ... + 40332.

It is an arithmetic number, because the mean of its divisors is an integer number (9179520).

Almost surely, 2106418877 is an apocalyptic number.

It is an amenable number.

106418877 is a deficient number, since it is larger than the sum of its proper divisors (40453443).

106418877 is a wasteful number, since it uses less digits than its factorization.

106418877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184.

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 106418877 is about 10315.9525493286. The cubic root of 106418877 is about 473.8849219469.

The spelling of 106418877 in words is "one hundred six million, four hundred eighteen thousand, eight hundred seventy-seven".

Divisors: 1 3 31 93 419 1257 2731 8193 12989 38967 84661 253983 1144289 3432867 35472959 106418877