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106413524 = 2276162303
BaseRepresentation
bin1100101011110…
…11110111010100
321102020100220122
412111323313110
5204220213044
614320451112
72431333340
oct625736724
9242210818
10106413524
1155082068
122b779a98
131907aaa9
14101c0620
15951edee
hex657bdd4

106413524 has 24 divisors (see below), whose sum is σ = 216319488. Its totient is φ = 44857440.

The previous prime is 106413493. The next prime is 106413529. The reversal of 106413524 is 425314601.

It is a super-2 number, since 2×1064135242 = 22647676180197152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106413493 and 106413502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106413529) 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 7 ways as a sum of consecutive naturals, for example, 29444 + ... + 32859.

It is an arithmetic number, because the mean of its divisors is an integer number (9013312).

Almost surely, 2106413524 is an apocalyptic number.

106413524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106413524 is an abundant number, since it is smaller than the sum of its proper divisors (109905964).

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

106413524 is a wasteful number, since it uses less digits than its factorization.

106413524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62375 (or 62373 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 106413524 is about 10315.6930935347. The cubic root of 106413524 is about 473.8769761495.

The spelling of 106413524 in words is "one hundred six million, four hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 61 122 244 427 854 1708 62303 124606 249212 436121 872242 1744484 3800483 7600966 15201932 26603381 53206762 106413524