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106461836 = 22136133563
BaseRepresentation
bin1100101100001…
…11101010001100
321102022211011222
412112013222030
5204223234321
614321502512
72431624235
oct626075214
9242284158
10106461836
1155105398
122b7a1a38
1319096a90
14101d408c
15952e3ab
hex6587a8c

106461836 has 24 divisors (see below), whose sum is σ = 203934864. Its totient is φ = 48329280.

The previous prime is 106461829. The next prime is 106461863. The reversal of 106461836 is 638164601.

It is a super-2 number, since 2×1064618362 = 22668245048981792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106461796 and 106461805.

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 7 ways as a sum of consecutive naturals, for example, 13610 + ... + 19953.

It is an arithmetic number, because the mean of its divisors is an integer number (8497286).

Almost surely, 2106461836 is an apocalyptic number.

It is an amenable number.

106461836 is a deficient number, since it is larger than the sum of its proper divisors (97473028).

106461836 is a wasteful number, since it uses less digits than its factorization.

106461836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33641 (or 33639 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 106461836 is about 10318.0345027529. The cubic root of 106461836 is about 473.9486790680.

The spelling of 106461836 in words is "one hundred six million, four hundred sixty-one thousand, eight hundred thirty-six".

Divisors: 1 2 4 13 26 52 61 122 244 793 1586 3172 33563 67126 134252 436319 872638 1745276 2047343 4094686 8189372 26615459 53230918 106461836