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106768061 = 312241461
BaseRepresentation
bin1100101110100…
…10011010111101
321102220101020122
412113102122331
5204313034221
614332224325
72434341101
oct627223275
9242811218
10106768061
11552a4474
122b90b0a5
131917328a
1410273901
15958eeab
hex65d26bd

106768061 has 12 divisors (see below), whose sum is σ = 111021372. Its totient is φ = 102672000.

The previous prime is 106768043. The next prime is 106768063. The reversal of 106768061 is 160867601.

It can be written as a sum of positive squares in 2 ways, for example, as 57684025 + 49084036 = 7595^2 + 7006^2 .

It is not a de Polignac number, because 106768061 - 214 = 106751677 is a prime.

It is a super-2 number, since 2×1067680612 = 22798837699399442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106768063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231371 + ... + 231831.

It is an arithmetic number, because the mean of its divisors is an integer number (9251781).

Almost surely, 2106768061 is an apocalyptic number.

It is an amenable number.

106768061 is a deficient number, since it is larger than the sum of its proper divisors (4253311).

106768061 is an equidigital number, since it uses as much as digits as its factorization.

106768061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 106768061 is about 10332.8631559699. The cubic root of 106768061 is about 474.4026633534.

The spelling of 106768061 in words is "one hundred six million, seven hundred sixty-eight thousand, sixty-one".

Divisors: 1 31 241 461 961 7471 14291 111101 231601 443021 3444131 106768061