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106433656 = 23713713873
BaseRepresentation
bin1100101100000…
…00110001111000
321102021101112021
412112000301320
5204221334111
614321124224
72431446130
oct626006170
9242241467
10106433656
11550961aa
122b789674
1319086cc4
14101c7ac0
159525d71
hex6580c78

106433656 has 32 divisors (see below), whose sum is σ = 229753440. Its totient is φ = 45278208.

The previous prime is 106433653. The next prime is 106433659. The reversal of 106433656 is 656334601.

It is an interprime number because it is at equal distance from previous prime (106433653) and next prime (106433659).

It is a super-2 number, since 2×1064336562 = 22656246259052672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106433653) 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 7 ways as a sum of consecutive naturals, for example, 736 + ... + 14608.

It is an arithmetic number, because the mean of its divisors is an integer number (7179795).

Almost surely, 2106433656 is an apocalyptic number.

It is an amenable number.

106433656 is an abundant number, since it is smaller than the sum of its proper divisors (123319784).

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

106433656 is a wasteful number, since it uses less digits than its factorization.

106433656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14023 (or 14019 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 106433656 is about 10316.6688422184. The cubic root of 106433656 is about 473.9068579708.

The spelling of 106433656 in words is "one hundred six million, four hundred thirty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 137 274 548 959 1096 1918 3836 7672 13873 27746 55492 97111 110984 194222 388444 776888 1900601 3801202 7602404 13304207 15204808 26608414 53216828 106433656