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106786812 = 22311808991
BaseRepresentation
bin1100101110101…
…10111111111100
321102221022222010
412113112333330
5204314134222
614332451220
72434446546
oct627267774
9242838863
10106786812
1155307570
122b919b10
131917b982
141027a696
15959580c
hex65d6ffc

106786812 has 24 divisors (see below), whose sum is σ = 271821312. Its totient is φ = 32359600.

The previous prime is 106786789. The next prime is 106786819. The reversal of 106786812 is 218687601.

It is a super-2 number, since 2×1067868122 = 22806846434246688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106786819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404364 + ... + 404627.

It is an arithmetic number, because the mean of its divisors is an integer number (11325888).

Almost surely, 2106786812 is an apocalyptic number.

106786812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106786812 is an abundant number, since it is smaller than the sum of its proper divisors (165034500).

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

106786812 is a wasteful number, since it uses less digits than its factorization.

106786812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809009 (or 809007 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 106786812 is about 10333.7704638723. The cubic root of 106786812 is about 474.4304338420.

The spelling of 106786812 in words is "one hundred six million, seven hundred eighty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 808991 1617982 2426973 3235964 4853946 8898901 9707892 17797802 26696703 35595604 53393406 106786812